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2000 Examples of ODE

There are 1940 ODE’s taken from the book "Diﬀerential Gleichungen" by Kamke, 3rd edition, Chelsea Publishing Company, New York, 1848.
An equation can be copied into Calculator for computation, one by one. e.g. diff(y(x),x) + a*y(x) - c*exp(b*x)
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ode[1] := diff(y(x),x) - (a4*x^4+a3*x^3+a2*x^2+a1*x+a0)^(-1/2):
ode[2] := diff(y(x),x) + a*y(x) - c*exp(b*x):
ode[3] := diff(y(x),x) + a*y(x) - b*sin(c*x):
ode[4] := diff(y(x),x) + 2*x*y(x) - x*exp(-x^2):
ode[5] := diff(y(x),x) + y(x)*cos(x) - exp(2*x):
ode[6] := diff(y(x),x) + y(x)*cos(x) - sin(2*x)/2:
ode[7] := diff(y(x),x) + y(x)*cos(x) - exp(-sin(x)):
ode[8] := diff(y(x),x) + y(x)*tan(x) - sin(2*x):
ode[9] := diff(y(x),x) - (sin(ln(x)) + cos(ln(x)) +a)*y(x):
ode[10] := diff(y(x),x) + diff(f(x),x)*y(x) - f(x)*diff(f(x),x):
ode[11] := diff(y(x),x)  + f(x)*y(x) - g(x):
ode[12] := diff(y(x),x) + y(x)^2 - 1:
ode[13] := diff(y(x),x) + y(x)^2 - a*x - b:
ode[14] := diff(y(x),x) + y(x)^2 + a*x^m:
ode[15] := diff(y(x),x) + y(x)^2 - 2*x^2*y(x) + x^4 -2*x-1:
ode[16] := diff(y(x),x) + y(x)^2 +(x*y(x)-1)*f(x):
ode[17] := diff(y(x),x) - y(x)^2 -3*y(x) + 4 :
ode[18] := diff(y(x),x) - y(x)^2 - x*y(x) - x + 1 :
ode[19] := diff(y(x),x) - (y(x) + x)^2:
ode[20] := diff(y(x),x) - y(x)^2 +(x^2 + 1)*y(x) - 2*x :
ode[21] := diff(y(x),x) - y(x)^2 +y(x)*sin(x) - cos(x) :
ode[22] := diff(y(x),x) - y(x)^2 -y(x)*sin(2*x) - cos(2*x) :
ode[23] := diff(y(x),x) + a*y(x)^2 - b:
ode[24] := diff(y(x),x) + a*y(x)^2 - b*x^nu:
ode[25] := diff(y(x),x) + a*y(x)^2 - b*x^(2*nu) - c*x^(nu-1):
ode[26] := diff(y(x),x) - (A*y(x) - a)*(B*y(x) - b):
ode[27] := diff(y(x),x) + a*y(x)*(y(x)-x) - 1:
ode[28] := diff(y(x),x) + x*y(x)^2 -x^3*y(x) - 2*x :
ode[29] := diff(y(x),x) - x*y(x)^2 - 3*x*y(x) :
ode[30] := diff(y(x),x) + x^(-a-1)*y(x)^2 - x^a:
ode[31] := diff(y(x),x) - a*x^n*(y(x)^2+1) :
ode[32] := diff(y(x),x) + y(x)^2*sin(x) - 2*sin(x)/cos(x)^2:
ode[33] := diff(y(x),x) - y(x)^2*diff(f(x),x)/g(x) + diff(g(x),x)/f(x):
ode[34] := diff(y(x),x) + f(x)*y(x)^2 + g(x)*y(x) :
ode[35] := diff(y(x),x) + f(x)*(y(x)^2 + 2*a*y(x) +b) :
ode[36] := diff(y(x),x) + y(x)^3 + a*x*y(x)^2 :
ode[37] := diff(y(x),x) - y(x)^3 - a*exp(x)*y(x)^2:
ode[38] := diff(y(x),x) - a*y(x)^3 - b*x^(-3/2):
ode[39] := diff(y(x),x) - a3*y(x)^3 - a2*y(x)^2 - a1*y(x) - a0:
ode[40] := diff(y(x),x) + 3*a*y(x)^3 + 6*a*x*y(x)^2:
ode[41] := diff(y(x),x) + a*x*y(x)^3 + b*y(x)^2:
ode[42] := diff(y(x),x) - x*(x+2)*y(x)^3 - (x+3)*y(x)^2:
ode[43] := diff(y(x),x) + (3*a*x^2 + 4*a^2*x + b)*y(x)^3 + 3*x*y(x)^2:
ode[44] := diff(y(x),x) + 2*a*x^3*y(x)^3 + 2*x*y(x):
ode[45] := diff(y(x),x) + 2*(a^2*x^3 - b^2*x)*y(x)^3 + 3*b*y(x)^2:
ode[46] := diff(y(x),x) - x^a*y(x)^3 + 3*y(x)^2 - x^(-a)*y(x) -x^(-2*a) + a*x^(-a-1):
ode[47] := diff(y(x),x) - a*(x^n - x)*y(x)^3 - y(x)^2:
ode[48] := diff(y(x),x) - (a*x^n + b*x)*y(x)^3 - c*y(x)^2:
ode[49] := diff(y(x),x) + a*diff(phi(x),x)*y(x)^3 + 6*a*phi(x)*y(x)^2 +(2*a+1)*y(x)*diff(phi(x),x,x)/diff(phi(x),x) +2*(a+1):
ode[50] := diff(y(x),x) - f3(x)*y(x)^3 - f2(x)*y(x)^2 - f1(x)*y(x) - f0(x):
ode[51] := diff(y(x),x) - (y(x)-f(x))*(y(x)-g(x))*(y(x)-(a*f(x)+b*g(x))/(a+b))*h(x)- diff(f(x),x)*(y(x)-g(x))/(f(x)-g(x)) - diff(g(x),x)*(y(x)-f(x))/(g(x)-f(x)):
ode[52] := diff(y(x),x) - a*y(x)^n - b*x^(n/(1-n)):
ode[53] := diff(y(x),x) - f(x)^(1-n)*diff(g(x),x)*y(x)^n/(a*g(x)+b)^n - diff(f(x),x)*y(x)/f(x) - f(x)*diff(g(x),x):
ode[54] := diff(y(x),x) - a^n*f(x)^(1-n)*diff(g(x),x)*y(x)^n - diff(f(x),x)*y(x)/f(x) - f(x)*diff(g(x),x):
ode[55] := diff(y(x),x) - f(x)*y(x)^n - g(x)*y(x) - h(x):
ode[56] := diff(y(x),x) - f(x)*y(x)^a - g(x)*y(x)^b:
ode[57] := diff(y(x),x) - sqrt(abs(y(x))):
ode[58] := diff(y(x),x) - a*sqrt(y(x)) - b*x:
ode[59] := diff(y(x),x) - a*sqrt(y(x)^2+1) - b:
ode[60] := diff(y(x),x) - sqrt(y(x)^2-1)/sqrt(x^2-1):
ode[61] := diff(y(x),x) - sqrt(x^2-1)/sqrt(y(x)^2-1):
ode[62] := diff(y(x),x) - (y(x)-x^2*sqrt(x^2-y(x)^2))/(x*y(x)*sqrt(x^2-y(x)^2)+x):
ode[63] := diff(y(x),x) - (1+ y(x)^2)/(abs(y(x)+sqrt(1+y(x)))*sqrt(1+x)^3):
ode[64] := diff(y(x),x) - sqrt((a*y(x)^2+b*y(x)+c)/(a*x^2+b*x+c)):
ode[65] := diff(y(x),x) - sqrt((y(x)^3+1)/(x^3+1)):
ode[66] := diff(y(x),x) - sqrt(abs(y(x)*(1-y(x))*(1-a*y(x))))/sqrt(abs(x*(1-x)*(1-a*x))):
ode[67] := diff(y(x),x) - sqrt(1-y(x)^4)/sqrt(1-x^4):
ode[68] := diff(y(x),x) - sqrt((a*y(x)^4+b*y(x)^2+1)/(a*x^4+b*x^2+1)):
ode[69] := diff(y(x),x) - sqrt((b4*y(x)^4+b3*y(x)^3+b2*y(x)^2+b1*y(x)+b0)*(a4*x^4+a3*x^3+a2*x^2+a1*x+a0)):
ode[70] := diff(y(x),x) - sqrt((a4*x^4+a3*x^3+a2*x^2+a1*x+a0)/(b4*y(x)^4+b3*y(x)^3+b2*y(x)^2+b1*y(x)+b0)):
ode[71] := diff(y(x),x) - sqrt((b4*y(x)^4+b3*y(x)^3+b2*y(x)^2+b1*y(x)+b0)/(a4*x^4+a3*x^3+a2*x^2+a1*x+a0)):
ode[72] := diff(y(x),x) - R1(x,sqrt(a4*x^4+a3*x^3+a2*x^2+a1*x+a0))*R2(y(x),sqrt(b4*y(x)^4+b3*y(x)^3+b2*y(x)^2+b1*y(x)+b0)):
ode[73] := diff(y(x),x) - ((a3*x^3+a2*x^2+a1*x+a0)/(a3*y(x)^3+a2*y(x)^2+a1*y(x)+a0))^(2/3):
ode[74] := diff(y(x),x) - f(x)*(y(x)-g(x))*sqrt((y(x)-a)*(y(x)-b)):
ode[75] := diff(y(x),x) - exp(x-y(x)) + exp(x):
ode[76] := diff(y(x),x) - a*cos(y(x)) + b:
ode[77] := diff(y(x),x) - cos(a*y(x)+b*x):
ode[78] := diff(y(x),x) + a*sin(alpha*y(x)+beta*x) + b:
ode[79] := diff(y(x),x) + f(x)*cos(a*y(x)) + g(x)*sin(a*y(x)) + h(x):
ode[80] := diff(y(x),x) + f(x)*sin(y(x)) + (1-diff(f(x),x))*cos(y(x)) - diff(f(x),x) - 1:
ode[81] := diff(y(x),x) + 2*tan(y(x))*tan(x) - 1:
ode[82] := diff(y(x),x) - a*(1+tan(y(x))^2) + tan(y(x))*tan(x): # tan(x) duvidoso.
ode[83] := diff(y(x),x) - tan(x*y(x)):
ode[84] := diff(y(x),x) - f(a*x + b*y(x)):
ode[85] := diff(y(x),x) - x^(a-1)*y(x)^(1-b)*f(x^a/a + y(x)^b/b):
ode[86] := diff(y(x),x) - (y(x)-x*f(x^2+a*y(x)^2))/(x+a*y(x)*f(x^2+a*y(x)^2)):
ode[87] := diff(y(x),x) - (y(x)*a*f(x^c*y(x))+c*x^a*y(x)^b)/(x*b*f(x^c*y(x))-x^a*y(x)^b):
ode[88] := 2*diff(y(x),x) - 3*y(x)^2 - 4*a*y(x) - b - c*exp(-2*a*x):
ode[89] := x*diff(y(x),x) - sqrt(a^2 - x^2):
ode[90] := x*diff(y(x),x) + y(x) - x*sin(x):
ode[91] := x*diff(y(x),x) - y(x) - x/ln(x):
ode[92] := x*diff(y(x),x) - y(x) - x^2*sin(x):
ode[93] := x*diff(y(x),x) - y(x) - x*cos(ln(ln(x)))/ln(x):
ode[94] := x*diff(y(x),x) +a*y(x) + b*x^n:
ode[95] := x*diff(y(x),x) + y(x)^2 + x^2:
ode[96] := x*diff(y(x),x) - y(x)^2 + 1:
ode[97] := x*diff(y(x),x) + a*y(x)^2 - y(x) + b*x^2:
ode[98] := x*diff(y(x),x) + a*y(x)^2 - b*y(x) + c*x^(2*b):
ode[99] := x*diff(y(x),x) + a*y(x)^2 - b*y(x) - c*x^beta:
ode[100] := x*diff(y(x),x) + x*y(x)^2 + a:
ode[101] := x*diff(y(x),x) + x*y(x)^2 - y(x):
ode[102] := x*diff(y(x),x) + x*y(x)^2 - y(x) - a*x^3:
ode[103] := x*diff(y(x),x) + x*y(x)^2 - (2*x^2+1)*y(x) - x^3:
ode[104] := x*diff(y(x),x) + a*x*y(x)^2 + 2*y(x) + b*x:
ode[105] := x*diff(y(x),x) + a*x*y(x)^2 + b*y(x) + c*x + d:
ode[106] := x*diff(y(x),x) + x^a*y(x)^2 + (a-b)*y(x)/2 + x^b:
ode[107] := x*diff(y(x),x) + a*x^alpha*y(x)^2 + b*y(x) - c*x^beta:
ode[108] := x*diff(y(x),x) - y(x)^2*ln(x) + y(x):
ode[109] := x*diff(y(x),x) - y(x)*(2*y(x)*ln(x)-1):
ode[110] := x*diff(y(x),x) + f(x)*(y(x)^2-x^2):
ode[111] := x*diff(y(x),x) + y(x)^3 + 3*x*y(x)^2:
ode[112] := x*diff(y(x),x) - sqrt(y(x)^2 + x^2) - y(x):
ode[113] := x*diff(y(x),x) + a*sqrt(y(x)^2 + x^2) - y(x):
ode[114] := x*diff(y(x),x) - x*sqrt(y(x)^2 + x^2) - y(x):
ode[115] := x*diff(y(x),x) - x*(y(x)-x)*sqrt(y(x)^2 + x^2) - y(x):
ode[116] := x*diff(y(x),x) - x*sqrt((y(x)^2 - x^2)*(y(x)^2-4*x^2)) - y(x):
ode[117] := x*diff(y(x),x) - x*exp(y(x)/x) - y(x) - x:
ode[118] := x*diff(y(x),x) - y(x)*ln(y(x)):
ode[119] := x*diff(y(x),x) - y(x)*(ln(x*y(x))-1):
ode[120] := x*diff(y(x),x) - y(x)*(x*ln(x^2/y(x))+2):
ode[121] := x*diff(y(x),x) + sin(y(x)-x):
ode[122] := x*diff(y(x),x) + (sin(y(x))-3*x^2*cos(y(x)))*cos(y(x)):
ode[123] := x*diff(y(x),x) - x*sin(y(x)/x) - y(x):
ode[124] := x*diff(y(x),x) + x*cos(y(x)/x) - y(x) + x:
ode[125] := x*diff(y(x),x) + x*tan(y(x)/x) - y(x):
ode[126] := x*diff(y(x),x) - y(x)*f(x*y(x)):
ode[127] := x*diff(y(x),x) - y(x)*f(x^a*y(x)^b):
ode[128] := x*diff(y(x),x) + a*y(x) - f(x)*g(x^a*y(x)):
ode[129] := (x+1)*diff(y(x),x) + y(x)*(y(x)-x):
ode[130] := 2*x*diff(y(x),x) - y(x) -2*x^3:
ode[131] := (2*x+1)*diff(y(x),x) - 4*exp(-y(x)) + 2:
ode[132] := 3*x*diff(y(x),x) - 3*x*ln(x)*y(x)^4 - y(x):
ode[133] := x^2*diff(y(x),x) + y(x) - x:
ode[134] := x^2*diff(y(x),x) - y(x) + x^2*exp(x-1/x):
ode[135] := x^2*diff(y(x),x) - (x-1)*y(x):
ode[136] := x^2*diff(y(x),x) + y(x)^2 + x*y(x) + x^2:
ode[137] := x^2*diff(y(x),x) - y(x)^2 - x*y(x):
ode[138] := x^2*diff(y(x),x) - y(x)^2 - x*y(x) - x^2:
ode[139] := x^2*(diff(y(x),x)+y(x)^2) + a*x^k - b*(b-1):
ode[140] := x^2*(diff(y(x),x)+y(x)^2) + 4*x*y(x) + 2:
ode[141] := x^2*(diff(y(x),x)+y(x)^2) + a*x*y(x) + b:
ode[142] := x^2*(diff(y(x),x)-y(x)^2) - a*x^2*y(x) + a*x + 2:
ode[143] := x^2*(diff(y(x),x)+a*y(x)^2) - b:
ode[144] := x^2*(diff(y(x),x)+a*y(x)^2) + b*x^alpha + c:
ode[145] := x^2*diff(y(x),x) + a*y(x)^3 - a*x^2*y(x)^2:
ode[146] := x^2*diff(y(x),x) + x*y(x)^3 + a*y(x)^2:
ode[147] := x^2*diff(y(x),x) + a*x^2*y(x)^3 + b*y(x)^2:
ode[148] := (x^2+1)*diff(y(x),x) + x*y(x) - 1:
ode[149] := (x^2+1)*diff(y(x),x) + x*y(x) - x*(x^2+1):
ode[150] := (x^2+1)*diff(y(x),x) + 2*x*y(x) - 2*x^2:
ode[151] := (x^2+1)*diff(y(x),x) + (y(x)^2+1)*(2*x*y(x) - 1):
ode[152] := (x^2+1)*diff(y(x),x) + x*sin(y(x))*cos(y(x)) - x*(x^2+1)*cos(y(x))^2:
ode[153] := (x^2-1)*diff(y(x),x) - x*y(x) + a:
ode[154] := (x^2-1)*diff(y(x),x) + 2*x*y(x) - cos(x):
ode[155] := (x^2-1)*diff(y(x),x) + y(x)^2 - 2*x*y(x) + 1:
ode[156] := (x^2-1)*diff(y(x),x) - y(x)*(y(x)-x):
ode[157] := (x^2-1)*diff(y(x),x) + a*(y(x)^2-2*x*y(x)+1):
ode[158] := (x^2-1)*diff(y(x),x) + a*x*y(x)^2 + x*y(x):
ode[159] := (x^2-1)*diff(y(x),x) - 2*x*y(x)*ln(y(x)):
ode[160] := (x^2-4)*diff(y(x),x) + (x+2)*y(x)^2 - 4*y(x):
ode[161] := (x^2-5*x+6)*diff(y(x),x) + 3*x*y(x) - 8*y(x) + x^2:
ode[162] := (x-a)*(x-b)*diff(y(x),x) + y(x)^2 + k*(y(x)+x-a)*(y(x)+x-b):
ode[163] := 2*x^2*diff(y(x),x) - 2*y(x)^2 - x*y(x) + 2*a^2*x:
ode[164] := 2*x^2*diff(y(x),x) - 2*y(x)^2 - 3*x*y(x) + 2*a^2*x:
ode[165] := x*(2*x-1)*diff(y(x),x) + y(x)^2 - (4*x+1)*y(x) + 4*x:
ode[166] := 2*x*(x-1)*diff(y(x),x) + (x-1)*y(x)^2 - x:
ode[167] := 3*x^2*diff(y(x),x) - 7*y(x)^2 - 3*x*y(x) - x^2:
ode[168] := 3*(x^2-4)*diff(y(x),x) + y(x)^2 - x*y(x) - 3:
ode[169] := (a*x+b)^2*diff(y(x),x) + (a*x+b)*y(x)^3 + c*y(x)^2:
ode[170] := x^3*diff(y(x),x) - y(x)^2 - x^4:
ode[171] := x^3*diff(y(x),x) - y(x)^2 - x^2*y(x):
ode[172] := x^3*diff(y(x),x) - x^4*y(x)^2 + x^2*y(x) + 20:
ode[173] := x^3*diff(y(x),x) - x^6*y(x)^2 - (2*x-3)*x^2*y(x) + 3:
ode[174] := x*(x^2+1)*diff(y(x),x) + x^2*y(x):
ode[175] := x*(x^2-1)*diff(y(x),x) - (2*x^2-1)*y(x) + a*x^3:
ode[176] := x*(x^2-1)*diff(y(x),x) + (x^2-1)*y(x)^2 - x^2:
ode[177] := x^2*(x-1)*diff(y(x),x) - y(x)^2 - x*(x-2)*y(x):
ode[178] := 2*x*(x^2-1)*diff(y(x),x) + 2*(x^2-1)*y(x)^2 - (3*x^2-5)*y(x) + x^2 - 3:
ode[179] := 3*x*(x^2-1)*diff(y(x),x) + x*y(x)^2 - (x^2+1)*y(x) - 3*x:
ode[180] := (a*x^2+b*x+c)*(x*diff(y(x),x)-y(x)) - y(x)^2 + x^2:
ode[181] := x^4*(diff(y(x),x)+y(x)^2) + a:
ode[182] := x*(x^3-1)*diff(y(x),x) - 2*x*y(x)^2 + y(x) + x^2:
ode[183] := (2*x^4-x)*diff(y(x),x) - 2*(x^3-1)*y(x):
ode[184] := (a*x^2+b*x+c)^2*(diff(y(x),x)+y(x)^2) + A:
ode[185] := x^7*diff(y(x),x) + 2*(x^2+1)*y(x)^3 + 5*x^3*y(x)^2:
ode[186] := x^n*diff(y(x),x) + y(x)^2 -(n-1)*x^(n-1)*y(x) + x^(2*n-2):
ode[187] := x^n*diff(y(x),x) - a*y(x)^2 - b*x^(2*n-2):
ode[188] := x^(2*n+1)*diff(y(x),x) - a*y(x)^3 - b*x^(3*n):
ode[189] := x^(m*(n-1)+n)*diff(y(x),x) - a*y(x)^n - b*x^(n*(m+1)):
ode[190] := sqrt(x^2-1)*diff(y(x),x) - sqrt(y(x)^2-1):
ode[191] := sqrt(1-x^2)*diff(y(x),x) - y(x)*sqrt(y(x)^2-1):
ode[192] := sqrt(x^2+a^2)*diff(y(x),x) + y(x) - sqrt(x^2+a^2) + x:
ode[193] := x*diff(y(x),x)*ln(x) + y(x) - a*x*(ln(x)+1):
ode[194] := x*diff(y(x),x)*ln(x) - y(x)^2*ln(x) - (2*ln(x)^2+1)*y(x) - ln(x)^3:
ode[195] := sin(x)*diff(y(x),x) - y(x)^2*sin(x)^2 + (cos(x) - 3*sin(x))*y(x) + 4:
ode[196] := cos(x)*diff(y(x),x) + y(x) + (1 + sin(x))*cos(x):
ode[197] := cos(x)*diff(y(x),x) - y(x)^4 - y(x)*sin(x):
ode[198] := sin(x)*cos(x)*diff(y(x),x) - y(x) - sin(x)^3:
ode[199] := sin(2*x)*diff(y(x),x) + sin(2*y(x)):
ode[200] := (a*sin(x)^2+b)*diff(y(x),x) + a*y(x)*sin(2*x) + A*x*(a*sin(x)^2+c):
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ode[201] := 2*f(x)*diff(y(x),x)+2*f(x)*y(x)^2-diff(f(x),x)*y(x)-2*f(x)^2:
ode[202] := f(x)*diff(y(x),x)+g(x)*tg(y(x))+h(x):
ode[203] := y(x)*diff(y(x),x)+y(x)+x^3:
ode[204] := y(x)*diff(y(x),x)+a*y(x)+x:
ode[205] := y(x)*diff(y(x),x)+a*y(x)+(a^2-1)/(4)*x+b*x^n:
ode[206] := y(x)*diff(y(x),x)+a*y(x)+b*exp(x)-2*a:
ode[207] := y(x)*diff(y(x),x)+y(x)^2+4*x*(x+1):
ode[208] := y(x)*diff(y(x),x)+a*y(x)^2-b*cos(x+c):
ode[209] := y(x)*diff(y(x),x)-sqrt(a*y(x)^2+b):#trocar o sinal antes da raiz tambem.
ode[210] := y(x)*diff(y(x),x)+x*y(x)^2-4*x:
ode[211] := y(x)*diff(y(x),x)-x*exp(x/y(x)):
ode[212] := y(x)*diff(y(x),x)+f(x^2+y(x)^2)*g(x)+x:#trocar sinal tanto dentro de f como de x.
ode[213] := (y(x)+1)*diff(y(x),x)-y(x)-x:
ode[214] := (y(x)+x-1)*diff(y(x),x)-y(x)+2*x+3:
ode[215] := (y(x)+2*x-2)*diff(y(x),x)-y(x)+x+1:
ode[216] := (y(x)-2*x+1)*diff(y(x),x)+y(x)+x:
ode[217] := (y(x)-x^2)*diff(y(x),x)-x:
ode[218] := (y(x)-x^2)*diff(y(x),x)+4*x*y(x):
ode[219] := (y(x)+g(x))*diff(y(x),x)-f2(x)*y(x)^2-f1(x)*y(x)-f0(x):
ode[220] := 2*y(x)*diff(y(x),x)-x*y(x)^2-x^3:
ode[221] := (2*y(x)+x+1)*diff(y(x),x)-(2*y(x)+x-1):
ode[222] := (2*y(x)+x+7)*diff(y(x),x)-y(x)+2*x+4:
ode[223] := (2*y(x)-x)*diff(y(x),x)-y(x)-2*x:
ode[224] := (2*y(x)-6*x)*diff(y(x),x)-y(x)+3*x+2:
ode[225] := (4*y(x)+2*x+3)*diff(y(x),x)-2*y(x)-x-1:
ode[226] := (4*y(x)-2*x-3)*diff(y(x),x)+2*y(x)-x-1:
ode[227] := (4*y(x)-3*x-5)*diff(y(x),x)-3*y(x)+7*x+2:
ode[228] := (4*y(x)+11*x-11) *diff(y(x),x)-25*y(x)-8*x+62:
ode[229] := (12*y(x)-5*x-8)*diff(y(x),x)-5*y(x)+2*x+3:
ode[230] := a*y(x)*diff(y(x),x)+b*y(x)^2+f(x):
ode[231] := (a*y(x)+b*x+c)*diff(y(x),x)+alpha*y(x)+beta*x+gamma:
ode[232] := x*y(x)*diff(y(x),x)+y(x)^2+x^2:
ode[233] := x*y(x)*diff(y(x),x)-y(x)^2+a*x^3*cos(x):
ode[234] := x*y(x)*diff(y(x),x)-y(x)^2+x*y(x)+x^3-2*x^2:
ode[235] := (x*y(x)+a)*diff(y(x),x)+b*y(x):
ode[236] := x*(y(x)+4)*diff(y(x),x)-y(x)^2-2*y(x)-2*x:
ode[237] := x*(y(x)+a)*diff(y(x),x)+b*y(x)+c*x:
ode[238] := (x*(y(x)+x)+a)*diff(y(x),x)-y(x)*(y(x)+x)-b:
ode[239] := (x*y(x)-x^2)*diff(y(x),x)+y(x)^2-3*x*y(x)-2*x^2:
ode[240] := 2*x*y(x)*diff(y(x),x)-y(x)^2+a*x:
ode[241] := 2*x*y(x)*diff(y(x),x)-y(x)^2+a*x^2:
ode[242] := 2*x*y(x)*diff(y(x),x)+2*y(x)^2+1:
ode[243] := x*(2*y(x)+x-1)*diff(y(x),x)-y(x)*(y(x)+2*x+1):
ode[244] := x*(2*y(x)-x-1)*diff(y(x),x)+y(x)*(2*x-y(x)-1):
ode[245] := (2*x*y(x)+4*x^3)*diff(y(x),x)+y(x)^2+112*x^2*y(x):
ode[246] := x*(3*y(x)+2*x)*diff(y(x),x)+3*(y(x)+x)^2:
ode[247] := (3*x+2)*(y(x)-2*x-1)*diff(y(x),x)-y(x)^2+x*y(x)-7*x^2-9*x-3:
ode[248] := (6*x*y(x)+x^2+3)*diff(y(x),x)+3*y(x)^2+2*x*y(x)+2*x:
ode[249] := (a*x*y(x)+b*x^n)*diff(y(x),x)+alpha*y(x)^3+beta*y(x)^2:
ode[250] := (B*x*y(x)+A*x^2+a*x+b*y(x)+c)*diff(y(x),x)-B*g(x)^2+A*x*y(x)+alpha*x+beta*y(x)+gamma:
ode[251] := (x^2*y(x)-1)*diff(y(x),x)+x*y(x)^2-1:
ode[252] := (x^2*y(x)-1)*diff(y(x),x)-(x*y(x)^2-1):
ode[253] := (x^2*y(x)-1)*diff(y(x),x)+8*(x*y(x)^2-1):
ode[254] := x*(x*y(x)-2)*diff(y(x),x)+x^2*y(x)^3+x*y(x)^2-2*y(x):
ode[255] := x*(x*y(x)-3)*diff(y(x),x)+x*y(x)^2-y(x):
ode[256] := x^2*(y(x)-1)*diff(y(x),x)+(x-1)*y(x):
ode[257] := x*(x*y(x)+x^4-1)*diff(y(x),x)-y(x)*(x*y(x)-x^4-1):
ode[258] := 2*x^2*y(x)*diff(y(x),x)+y(x)^2-2*x^3-x^2:
ode[259] := 2*x^2*y(x)*diff(y(x),x)-y(x)^2-x^2*exp(x-1/x):
ode[260] := (2*x^2*y(x)+x)*diff(y(x),x)-x^2*y(x)^3+2*x*y(x)^2+y(x):
ode[261] := (2*x^2*y(x)-x)*diff(y(x),x)-2*x*y(x)^2-y(x):
ode[262] := (2*x^2*y(x)-x^3)*diff(y(x),x)+y(x)^3-4*x*y(x)^2+2*x^3:
ode[263] := 2*x^3+y(x)*diff(y(x),x)+3*x^2*y(x)^2+7:
ode[264] := 2*x*(x^3*y(x)+1)*diff(y(x),x)+(3*x^3*y(x)-1)*y(x):
ode[265] := (x^(n*(n+1))*y(x)-1)*diff(y(x),x)+2*(n+1)^2*x^(n-1)*(x^(n^2)*y(x)^2-1):
ode[266] := (y(x)-x)*sqrt(x^2+1)*diff(y(x),x)-a*sqrt((y(x)^2+1)^3):
ode[267] := y(x)*diff(y(x),x)*sin(x)^2+y(x)^2*cos(x)*sin(x)-1:
ode[268] := f(x)*y(x)*diff(y(x),x)+g(x)*y(x)^2+h(x):
ode[269] := (g1(x)*y(x)+g0(x))*diff(y(x),x)-f1(x)*y(x)-f2(x)*y(x)^2-f3(x)*y(x)^3-f0(x):
ode[270] := (y(x)^2-x)*diff(y(x),x)-y(x)+x^2:
ode[271] := (y(x)^2+x^2)*diff(y(x),x)+2*x*(y(x)+2*x):
ode[272] := (y(x)^2+x^2)*diff(y(x),x)-y(x)^2:
ode[273] := (y(x)^2+x^2+a)*diff(y(x),x)+2*x*y(x):
ode[274] := (y(x)^2+x^2+a)*diff(y(x),x)+2*x*y(x)+x^2+b:
ode[275] := (y(x)^2+x^2+x)*diff(y(x),x)-y(x):
ode[276] := (y(x)^2-x^2)*diff(y(x),x)+2*x*y(x):
ode[277] := (y(x)^2+x^4)*diff(y(x),x)-4*x^3*y(x):
ode[278] := (y(x)^2+4*sin(x))*diff(y(x),x)-cos(x):
ode[279] := (y(x)^2+2*y(x)+x)*diff(y(x),x)+(y(x)+x)^2*y(x)^2+y(x)*(y(x)+1):
ode[280] := (y(x)+x)^2*diff(y(x),x)-a^2:
ode[281] := (y(x)^2+2*x*y(x)-x^2)*diff(y(x),x)-y(x)^2+2*x*y(x)+x^2:#ha oito combinacoes de sinais.
ode[282] := (y(x)+3*x-1)^2*diff(y(x),x)-(2*y(x)-1)*(4*y(x)+6*x-3):
ode[283] := 3*(y(x)^2-x^2)*diff(y(x),x)+2*y(x)^3-6*x*(x+1)*y(x)-3*exp(x):
ode[284] := (4*y(x)^2+x^2)*diff(y(x),x)-x*y(x):
ode[285] := (4*y(x)^2+2*x*y(x)+3*x^2)*diff(y(x),x)+y(x)^2+6*x*y(x)+2*x^2:
ode[286] := (2*y(x)-3*x+1)^2*diff(y(x),x)-(3*y(x)-2*x-4)^2:
ode[287] := (2*y(x)-4*x+1)^2*diff(y(x),x)-(y(x)-2*x)^2:
ode[288] := (6*y(x)^2-3*x^2*y(x)+1)*diff(y(x),x)-3*x*y(x)^2+x:
ode[289] :=	(6*y(x)-x)^2*diff(y(x),x)-6*y(x)^2+2*x*y(x)+a:
ode[290] := (a*y(x)^2+2*b*x*y(x)+c*x^2)*diff(y(x),x)+b*y(x)^2+2*c*x*y(x)+d*x^2:
ode[291] := (b*(beta*y(x)+alpha*x)^2-beta*(b*y(x)+a*x))*diff(y(x),x)+a*(beta*y(x)+alpha*x)^2-alpha*(b*y(x)+a*x):
ode[292] := (a*y(x)+b*x+c)^2*diff(y(x),x)+(alpha*y(x)+beta*x+gamma)^2:
ode[293] := x*(y(x)^2-3*x)*diff(y(x),x)+2*y(x)^3-5*x*y(x):
ode[294] := x*(y(x)^2+x^2-a)*diff(y(x),x)-y(x)*(y(x)^2+x^2+a):
ode[295] := x*(y(x)^2+x*y(x)-x^2)*diff(y(x),x)-y(x)^3+x*y(x)^2+x^2*y(x):
ode[296] := x*(y(x)^2+x^2*y(x)+x^2)*diff(y(x),x)-2*y(x)^3-2*x^2*y(x)^2+x^4:
ode[297] := 2*x*(y(x)^2+5*x^2)*diff(y(x),x)+y(x)^3-x^2*y(x):
ode[298] := 3*x*y(x)^2*diff(y(x),x)+y(x)^3-2*x:
ode[299] := (3*x*y(x)^2-x^2)*diff(y(x),x)+y(x)^3-2*x*y(x):
ode[300] := 6*x*y(x)^2*diff(y(x),x)+2*y(x)^3+x:
#####################################################################
ode[301] := (6*x*y(x)^2+x^2)*diff(y(x),x)-y(x)*(3*y(x)^2-x):
ode[302] := (x^2*y(x)^2+x)*diff(y(x),x)+y(x):
ode[303] := (x*y(x)-1)^2*x*diff(y(x),x)+(x^2*y(x)^2+1)*y(x):
ode[304] := (10*x^3*y(x)^2+x^2*y(x)+2*x)*diff(y(x),x)+5*x^2*y(x)^3+x*y(x)^2:
ode[305] := (y(x)^3-3*x)*diff(y(x),x)-3*y(x)+x^2:
ode[306] := (y(x)^3-x^3)*diff(y(x),x)-x^2*y(x):
ode[307] := (y(x)^2+x^2+a)*y(x)*diff(y(x),x)+(y(x)^2+x^2-a)*x:
ode[308] := 2*y(x)^3*diff(y(x),x)+x*y(x)^2:
ode[309] := (2*y(x)^3+y(x))*diff(y(x),x)-2*x^3-x:
ode[310] := (2*y(x)^3+5*x^2*y(x))*diff(y(x),x)+5*x*y(x)^2+x^3:
ode[311] := (20*y(x)^3-3*x*y(x)^2+6*x^2*y(x)+3*x^3)*diff(y(x),x)-y(x)^3+6*x*y(x)^2+9*x^2*y(x)+4*x^3:
ode[312] := (y(x)^2/b+x^2/a)*(y(x)*diff(y(x),x)+x)+((a-b)/(a+b))*(y(x)*diff(y(x),x)-x):
ode[313] := (2*a*y(x)^3+3*a*x*y(x)^2-b*x^3+c*x^2)*diff(y(x),x)-a*y(x)^3+c*y(x)^2+3*b*x^2*y(x)+2*b*x^3:
ode[314] := x*y(x)^3*diff(y(x),x)+y(x)^4-x*sin(x):
ode[315] := (2*x*y(x)^3-x^4)*diff(y(x),x)-y(x)^4+2*x^3*y(x):
ode[316] := (2*x*y(x)^3+y(x))*diff(y(x),x)+2*y(x)^2:
ode[317] := (2*x*y(x)^3+x*y(x)+x^2)*diff(y(x),x)+y(x)^2-x*y(x):
ode[318] := (3*x*y(x)^3-4*x*y(x)+y(x))*diff(y(x),x)+y(x)^2*(y(x)^2-2):
ode[319] := (7*x*y(x)^3+y(x)-5*x)*diff(y(x),x)+y(x)^4-5*y(x):
ode[320] := (x^2*y(x)^3+x*y(x))*diff(y(x),x)-1:
ode[321] := (2*x^2*y(x)^3+x^2*y(x)^2-2*x)*diff(y(x),x)-2*y(x)-1:
ode[322] := (10*x^2*y(x)^3-3*y(x)^2-2)*diff(y(x),x)+5*x*y(x)^4+x:
ode[323] := (a*x*y(x)^3+c)*x*diff(y(x),x)+(b*x^3*y(x)+c)*y(x):
ode[324] := (2*x^3*y(x)^3-x)*diff(y(x),x)+2*x^3*y(x)^3-y(x):
ode[325] := y(x)*(y(x)^3-2*x^3)*diff(y(x),x)+(2*y(x)^3-x^3)*x:
ode[326] := y(x)*((a*y(x)+b*x)^3+b*x^3)*diff(y(x),x)+x*((a*y(x)+b*x)^3+a*y(x)^3):
ode[327] := (x*y(x)^4+2*x^2*y(x)^3+2*y(x)+x)*diff(y(x),x)+y(x)^5+y(x):
ode[328] := a*x^2*y(x)^n*diff(y(x),x)-2*x*diff(y(x),x)+y(x):
ode[329] := y(x)^m*x^n*(a*x*diff(y(x),x)+b*y(x))+alpha*x*diff(y(x),x)+beta*y(x):
ode[330] := (f(x+y(x))+1)*diff(y(x),x)+f(x+y(x)):
ode[331] := diff(y(x),x)*convert([sum(f[nu](x)*y(x)^nu,'nu'=1..p)],+)-convert([sum(g[nu](x)*y(x)^nu,'nu'=1..q)],+):
ode[332] := (sqrt(x*y(x))-1)*x*diff(y(x),x)-(sqrt(x*y(x))+1)*y(x):
ode[333] := (2*x^(5/2)*y(x)^(3/2)+x^2*y(x)-x)*diff(y(x),x)-x^(3/2)*y(x)^(5/2)+x*y(x)^2-y(x):
ode[334] := (sqrt(y(x)+x)+1)*diff(y(x),x)+1:
ode[335] := sqrt(y(x)^2-1)*diff(y(x),x)-sqrt(x^2-1):#tem dois sinais.
ode[336] := (sqrt(y(x)^2+1)+a*x)*diff(y(x),x)+sqrt(x^2+1)+a*y(x):
ode[337] := (sqrt(y(x)^2+x^2)+x)*diff(y(x),x)-y(x):
ode[338] := (y(x)*sqrt(y(x)^2+x^2)+(y(x)^2-x^2)*sin(alpha)-2*x*y(x)*cos(alpha))*diff(y(x),x)+x*sqrt(y(x)^2+x^2)+2*x*y(x)*sin(alpha)+(y(x)^2-x^2)*cos(alpha):
ode[339] := (x*sqrt(x^2+y(x)^2+1)-y(x)*(x^2+y(x)^2))*diff(y(x),x)-y(x)*sqrt(x^2+y(x)^2+1)-x*(x^2+y(x)^2):
ode[340] := (e1*(x+a)/((x+a)^2+y(x)^2)^(3/2)+e2*(x-a)/((x-a)^2+y(x)^2)^(3/2))*diff(y(x),x)-y(x)*(e1/((x+a)^2+y(x)^2)^(3/2)+e2/((x-a)^2+y(x)^2)^(3/2)):
ode[341] := (x*exp(y(x))+exp(x))*diff(y(x),x)+exp(y(x))+y(x)*exp(x):
ode[342] := x*(3*exp(x*y(x))+2*exp(-x*y(x)))*(x*diff(y(x),x)+y(x))+1:
ode[343] := (ln(y(x))+x)*diff(y(x),x)-1:
ode[344] := (ln(y(x))+2*x-1)*diff(y(x),x)-2*y(x):
ode[345] := x*(2*x^2*y(x)*ln(y(x))+1)*diff(y(x),x)-2*y(x):
ode[346] := x*(y(x)*ln(x*y(x))+y(x)-a*x)*diff(y(x),x)-y(x)*(a*x*ln(x*y(x))-y(x)+a*x):
ode[347] := diff(y(x),x)*(1+sin(x))*sin(y(x))+cos(x)*(cos(y(x))-1):
ode[348] := (x*cos(y(x))+sin(x))*diff(y(x),x)+y(x)*cos(x)+sin(y(x)):
ode[349] := x*diff(y(x),x)*cot(y(x)/x)+2*x*sin(y(x)/x)-y(x)*cot(y(x)/x):
ode[350] := diff(y(x),x)*cos(y(x))-cos(x)*sin(y(x))^2-sin(y(x)):
ode[351] := diff(y(x),x)*cos(y(x))+x*sin(y(x))*cos(y(x))^2-sin(y(x))^3:
ode[352] := diff(y(x),x)*(cos(y(x))-sin(alpha)*sin(x))*cos(y(x))+(cos(x)-sin(alpha)*sin(y(x)))*cos(x):
ode[353] := x*diff(y(x),x)*cos(y(x))+sin(y(x)):
ode[354] := (x*sin(y(x))-1)*diff(y(x),x)+cos(y(x)):
ode[355] := (x*cos(y(x))+cos(x))*diff(y(x),x)-y(x)*sin(x)+sin(y(x)):
ode[356] := (x^2*cos(y(x))+2*y(x)*sin(x))*diff(y(x),x)+2*x*sin(y(x))+y(x)^2*cos(x):
ode[357] := x*diff(y(x),x)*ln(x)*sin(y(x))+cos(y(x))*(1-x*cos(y(x))):
ode[358] := diff(y(x),x)*sin(y(x))*cos(x)+cos(y(x))*sin(x):
ode[359] := 3*diff(y(x),x)*sin(x)*sin(y(x))+5*cos(x)*cos(x)^3*y(x):
ode[360] := diff(y(x),x)*cos(a*y(x))-b*(1-c*cos(a*y(x)))*sqrt(cos(a*y(x))^2-(1-c*cos(a*y(x)))):
ode[361] := (x*sin(x*y(x))+cos(x+y(x))-sin(y(x)))*diff(y(x),x)+y(x)*sin(x*y(x))+cos(x+y(x))+cos(x):
ode[362] := (x^2*y(x)*sin(x*y(x))-4*x)*diff(y(x),x)+x*y(x)^2*sin(x*y(x))-y(x):
ode[363] := (x*diff(y(x),x)-y(x))*cos(y(x)/x)^2+x:
ode[364] := (y(x)*sin(y(x)/x)-x*cos(y(x)/x))*x*diff(y(x),x)-(x*cos(y(x)/x)+y(x)*sin(y(x)/x))*y(x):
ode[365] := (y(x)*f(x^2+y(x)^2)-x)*diff(y(x),x)+y(x)+x*f(x^2+y(x)^2):
ode[366] := f(x^2+a*y(x)^2)*(a*y(x)*diff(y(x),x)+x)-y(x)-x*diff(y(x),x):
ode[367] := f(x^c*y(x))*(b*x*diff(y(x),x)-a)-x^a*y(x)^b*(x*diff(y(x),x)+c*y(x)):
ode[368] := diff(y(x),x)^2+a*y(x)+b*x^2:
ode[369] := diff(y(x),x)^2+y(x)^2-a^2:
ode[370] := diff(y(x),x)^2+y(x)^2-f(x)^2:
ode[371] := diff(y(x),x)^2-y(x)^3+y(x)^2:
ode[372] := diff(y(x),x)^2-4*y(x)^3+a*y(x)+b:
ode[373] := diff(y(x),x)^2+a^2*y(x)^2*(ln(y(x))^2-1):
ode[374] := diff(y(x),x)^2-2*diff(y(x),x)-y(x)^2:
ode[375] := diff(y(x),x)^2+a*diff(y(x),x)+b*x:
ode[376] := diff(y(x),x)^2+a*diff(y(x),x)+b*y(x):
ode[377] := diff(y(x),x)^2+(x-2)*diff(y(x),x)-y(x)+1:
ode[378] := diff(y(x),x)^2+(x+a)*diff(y(x),x)-y(x):
ode[379] := diff(y(x),x)^2-(x+1)*diff(y(x),x)+y(x):
ode[380] := diff(y(x),x)^2+2*x*diff(y(x),x)-y(x):
ode[381] := diff(y(x),x)^2-2*x*diff(y(x),x)+y(x):
ode[382] := diff(y(x),x)^2+a*x*diff(y(x),x)-b*x^2-c:
ode[383] := diff(y(x),x)^2+a*x*diff(y(x),x)+b*y(x)+c*x^2:
ode[384] := diff(y(x),x)^2+(a*x+b)*diff(y(x),x)-a*y(x)+c:
ode[385] :=diff(y(x),x)^2-2*x^2*diff(y(x),x)+2*x*y(x):
ode[386] := diff(y(x),x)^2+a*x^3*diff(y(x),x)-2*a*x^2*y(x):
ode[387] := diff(y(x),x)^2+(diff(y(x),x)-y(x))*exp(x):
ode[388] := diff(y(x),x)^2-2*y(x)*diff(y(x),x)-2*x:
ode[389] := diff(y(x),x)^2-(4*y(x)+1)*diff(y(x),x)+(4*y(x)+1)*y(x):
ode[390] := diff(y(x),x)^2+a*y(x)*diff(y(x),x)-b*x-c:
ode[391] := diff(y(x),x)^2+(a*y(x)+b*x)*diff(y(x),x)+a*b*x*y(x):
ode[392] := diff(y(x),x)^2-x*y(x)*diff(y(x),x)+y(x)^2*ln(a*y(x)):
ode[393] := diff(y(x),x)^2+2*y(x)*diff(y(x),x)*cot(x)-y(x)^2:
ode[394] := diff(y(x),x)^2+2*f(x)*y(x)*diff(y(x),x)+g(x)*y(x)^2-(g(x)-f(x)^2)*exp(-2*int(f(xp),xp=a..x)):
ode[395] := diff(y(x),x)^2+2*f(x)*y(x)*diff(y(x),x)+g(x)*y(x)^2+h(x):
ode[396] := diff(y(x),x)^2+y(x)*(y(x)-x)*diff(y(x),x)-x*y(x)^3:
ode[397] := diff(y(x),x)^2-2*x^3*y(x)^2*diff(y(x),x)-4*x^2*y(x)^3:
ode[398] := diff(y(x),x)^2-3*x*y(x)^(2/3)*diff(y(x),x)+9*y(x)^(5/3):
ode[399] := 2*diff(y(x),x)^2+(x-1)*diff(y(x),x)-y(x):
ode[400] := 2*diff(y(x),x)^2-2*x^2*diff(y(x),x)+3*x*y(x):
ode[401] := 3*diff(y(x),x)^2-2*x*diff(y(x),x)+y(x):
ode[402] := 3*diff(y(x),x)^2+4*x*diff(y(x),x)-y(x)+x^2:
ode[403] := a*diff(y(x),x)^2+b*diff(y(x),x)-y(x):
ode[404] := a*diff(y(x),x)^2+b*x^2*diff(y(x),x)+c*x*y(x):
ode[405] := a*diff(y(x),x)^2+y(x)*diff(y(x),x)-x:
ode[406] := a*diff(y(x),x)^2-y(x)*diff(y(x),x)-x:
ode[407] := x*diff(y(x),x)^2-y(x):
ode[408] := x*diff(y(x),x)^2-2*y(x)+x:
ode[409] := x*diff(y(x),x)^2-2*diff(y(x),x)-y(x):
ode[410] := x*diff(y(x),x)^2+4*diff(y(x),x)-2*y(x):
ode[411] := x*diff(y(x),x)^2+x*diff(y(x),x)-y(x):
ode[412] := x*diff(y(x),x)^2+y(x)*diff(y(x),x)+a:
ode[413] := x*diff(y(x),x)^2+y(x)*diff(y(x),x)-x^2:
ode[414] := x*diff(y(x),x)^2+y(x)*diff(y(x),x)+x^3:
ode[415] := x*diff(y(x),x)^2+y(x)*diff(y(x),x)-y(x)^4:
ode[416] := x*diff(y(x),x)^2+(y(x)-3*x)*diff(y(x),x)+y(x):
ode[417] := x*diff(y(x),x)^2-y(x)*diff(y(x),x)+a:
ode[418] := x*diff(y(x),x)^2-y(x)*diff(y(x),x)+a*y(x):
ode[419] := x*diff(y(x),x)^2+2*y(x)*diff(y(x),x)-x:
ode[420] := x*diff(y(x),x)^2-2*y(x)*diff(y(x),x)+a:
ode[421] := x*diff(y(x),x)^2-2*y(x)*diff(y(x),x)-x:
ode[422] := x*diff(y(x),x)^2-2*y(x)*diff(y(x),x)+4*x:
ode[423] := x*diff(y(x),x)^2-2*y(x)*diff(y(x),x)+2*y(x)+x:
ode[424] := x*diff(y(x),x)^2+a*y(x)*diff(y(x),x)+b*x:
ode[425] := (x+1)*diff(y(x),x)^2-(y(x)+x)*diff(y(x),x)+y(x):
ode[426] := (3*x+1)*diff(y(x),x)^2-3*(y(x)+2)*diff(y(x),x)+9:
ode[427] := (3*x+5)*diff(y(x),x)^2-(3*y(x)+x)*diff(y(x),x)+y(x):
ode[428] := a*x*diff(y(x),x)^2+(b*x-a*y(x)+c)*diff(y(x),x)-b*y(x):
ode[429] := a*x*diff(y(x),x)^2-(a*y(x)+b*x-a-b)*diff(y(x),x)+b*y(x):
ode[430] := (a2*x+c2)*diff(y(x),x)^2+(a1*x+b1*y(x)+c1)*diff(y(x),x)+a0*x+b0*y(x)+c0:
ode[431] := x^2*diff(y(x),x)^2-y(x)^4+y(x)^2:
ode[432] := (x*diff(y(x),x)+a)^2-2*a*y(x)+x^2:
ode[433] := (x*diff(y(x),x)+y(x)+2*x)^2-4*(x*y(x)+x^2+a):
ode[434] := diff(y(x),x)-1: #nao existe.
ode[435] := x^2*diff(y(x),x)^2-2*x*y(x)*diff(y(x),x)+y(x)*(y(x)+1)-x:
ode[436] := x^2*diff(y(x),x)^2-2*x*y(x)*diff(y(x),x)+y(x)^2*(1-x^2)-x^4:
ode[437] := x^2*diff(y(x),x)^2-(2*x*y(x)+a)*diff(y(x),x)+y(x)^2:
ode[438] := x^2*diff(y(x),x)^2+3*x*y(x)*diff(y(x),x)+2*y(x)^2:
ode[439] := x^2*diff(y(x),x)^2+3*x*y(x)*diff(y(x),x)+3*y(x)^2:
ode[440] := x^2*diff(y(x),x)^2+4*x*y(x)*diff(y(x),x)-5*y(x)^2:
ode[441] := x^2*diff(y(x),x)^2-4*x*(y(x)+2)*diff(y(x),x)+4*y(x)*(y(x)+2):
ode[442] := x^2*diff(y(x),x)^2+(x^2*y(x)-2*x*y(x)+x^3)*diff(y(x),x)+(y(x)^2-x^2*y(x))*(1-x):
ode[443] := x*(x*diff(y(x),x)-y(x))^2-diff(y(x),x):
ode[444] := x^2*diff(y(x),x)^2-y(x)*(y(x)-2*x)*diff(y(x),x)+y(x)^2:
ode[445] := x^2*diff(y(x),x)^2+(a*x^2*y(x)^3+b)*diff(y(x),x)+a*b*y(x)^3:
ode[446] := (x^2+1)*diff(y(x),x)^2-2*x*y(x)*diff(y(x),x)+y(x)^2-1:
ode[447] := (x^2-1)*diff(y(x),x)^2-1:
ode[448] := (x^2-1)*diff(y(x),x)^2-y(x)^2+1:
ode[449] := (x^2-a^2)*diff(y(x),x)^2+2*x*y(x)*diff(y(x),x)+y(x)^2:
ode[450] := (x^2-a^2)*diff(y(x),x)^2-2*x*y(x)*diff(y(x),x)-x^2:
ode[451] := (x^2+a)*diff(y(x),x)^2-2*x*y(x)*diff(y(x),x)+y(x)^2+b:
ode[452] := (2*x^2+1)*diff(y(x),x)^2+(y(x)^2+2*x*y(x)+x^2+2)*diff(y(x),x)+2*y(x)^2+1:
ode[453] := (a^2-1)*x^2*diff(y(x),x)^2+2*x*y(x)*diff(y(x),x)-y(x)^2+a^2*x^2:
ode[454] := a*x^2*diff(y(x),x)^2-2*a*x*y(x)*diff(y(x),x)+y(x)^2-a*(a-1)*x^2:
ode[455] := x^3*diff(y(x),x)^2+x^2*y(x)*diff(y(x),x)+a:
ode[456] := x*(x^2-1)*diff(y(x),x)^2+2*(1-x^2)*y(x)*diff(y(x),x)+x*y(x)^2-x:
ode[457] := x^4*diff(y(x),x)^2-x*diff(y(x),x)-y(x):
ode[458] := x^2*(x^2-a^2)*diff(y(x),x)^2-1:
ode[459] := exp(-2*x)*diff(y(x),x)^2-(diff(y(x),x)-1)^2+exp(-2*y(x)):
ode[460] := (diff(y(x),x)^2+y(x)^2)*cos(x)^4-a^2:
ode[461] := d0(x)*diff(y(x),x)^2+2*b0(x)*y(x)*diff(y(x),x)+c0(x)*y(x)^2+2*d0(x)*diff(y(x),x)+2*e0(x)*y(x)+f0(x):
ode[462] := y(x)*diff(y(x),x)^2-1:
ode[463] := y(x)*diff(y(x),x)^2-exp(2*x):
ode[464] := y(x)*diff(y(x),x)^2+2*x*diff(y(x),x)-y(x):
ode[465] := y(x)*diff(y(x),x)^2+2*x*diff(y(x),x)-9*y(x):
ode[466] := y(x)*diff(y(x),x)^2-2*x*diff(y(x),x)+y(x):
ode[467] := y(x)*diff(y(x),x)^2-4*x*diff(y(x),x)+y(x):
ode[468] := y(x)*diff(y(x),x)^2-4*a^2*x*diff(y(x),x)+a^2*y(x):
ode[469] := y(x)*diff(y(x),x)^2+a*x*diff(y(x),x)+b*y(x):
ode[470] := y(x)*diff(y(x),x)^2+x^3*diff(y(x),x)-x^2*y(x):
ode[471] := y(x)*diff(y(x),x)^2-(y(x)-x)*diff(y(x),x)-x:
ode[472] := (y(x)+x)*diff(y(x),x)^2+2*x*diff(y(x),x)-y(x):
ode[473] := (y(x)-2*x)*diff(y(x),x)^2-2*(x-1)*diff(y(x),x)+y(x)-2:
ode[474] := 2*y(x)*diff(y(x),x)^2-(4*x-5)*diff(y(x),x)+2*y(x):
ode[475] := 4*y(x)*diff(y(x),x)^2+2*x*diff(y(x),x)-y(x):
ode[476] := 9*y(x)*diff(y(x),x)^2+4*x^3*diff(y(x),x)-4*x^2*y(x):
ode[477] := a*y(x)*diff(y(x),x)^2+(2*x-b)*diff(y(x),x)-y(x):
ode[478] := (a*y(x)+b)*(diff(y(x),x)^2+1)-c:
ode[479] := (b2*y(x)+a2*x+c2)*diff(y(x),x)^2+(a1*x+b1*y(x)+c1)*diff(y(x),x)+a0*x+b0*y(x)+c0:
ode[480] := (a*y(x)-x^2)*diff(y(x),x)^2+2*x*y(x)*diff(y(x),x)^2-y(x)^2:
ode[481] := x*y(x)*diff(y(x),x)^2+(y(x)^2+x^2)*diff(y(x),x)+x*y(x):
ode[482] := x*y(x)*diff(y(x),x)^2+(x^22-y(x)^2+a)*diff(y(x),x)-x*y(x):
ode[483] := (2*x*y(x)-x^2)*diff(y(x),x)^2+2*x*y(x)*diff(y(x),x)+2*x*y(x)-y(x)^2:
ode[484] := (2*x*y(x)-x^2)*diff(y(x),x)^2-6*x*y(x)*diff(y(x),x)-y(x)^2+2*x*y(x):
ode[485] := a*x*y(x)*diff(y(x),x)^2-(a*y(x)^2+b*x^2+c)*diff(y(x),x)+b*x*y(x):
ode[486] := y(x)^2*diff(y(x),x)^2+y(x)^2-a^2:
ode[487] := y(x)^2*diff(y(x),x)^2-6*x^3*diff(y(x),x)+4*x^2*y(x):
ode[488] := y(x)^2*diff(y(x),x)^2-4*a*y(x)*diff(y(x),x)+y(x)^2-4*a*x+4*a^2:
ode[489] := y(x)^2*diff(y(x),x)^2+2*x*y(x)*diff(y(x),x)+a*y(x)^2+b*x+c:
ode[490] := y(x)^2*diff(y(x),x)^2-2*x*y(x)*diff(y(x),x)+2*y(x)^2-x^2+a:
ode[491] := y(x)^2*diff(y(x),x)^2+2*a*x*y(x)*diff(y(x),x)+(1-a)*y(x)^2+a*x^2+(a-1)*b:
ode[492] := (y(x)^2-a^2)*diff(y(x),x)^2+y(x)^2:
ode[493] := (y(x)^2-2*a*x+a^2)*diff(y(x),x)^2+2*a*y(x)*diff(y(x),x)+y(x)^2:
ode[494] := (y(x)^2-a^2*x^2)*diff(y(x),x)^2+2*x*y(x)*diff(y(x),x)+(1-a^2)*x^2:
ode[495] := (y(x)^2+(1-a)*x^2)*diff(y(x),x)^2+2*a*x*y(x)*diff(y(x),x)+(1-a)*y(x)^2+x^2:
ode[496] := (y(x)-x)^2*(diff(y(x),x)^2+1)-a^2*(diff(y(x),x)+1)^2:
ode[497] := 3*y(x)^2*diff(y(x),x)^2-2*x*y(x)*diff(y(x),x)+4*y(x)^2-x^2:
ode[498] := (3*y(x)-2)*diff(y(x),x)^2+4*(y(x)-1):
ode[499] := (1-a^2)*y(x)^2*diff(y(x),x)^2-2*a^2*x*y(x)*diff(y(x),x)+y(x)^2-a^2*x^2:
ode[500] := (a-b)*y(x)^2*diff(y(x),x)^2-2*b*x*y(x)*diff(y(x),x)+a*y(x)^2-b*x^2-a*b:
#####################################################################
ode[501] := (a*y(x)^2+b*x+c)*diff(y(x),x)^2-b*y(x)*diff(y(x),x)+d*y(x)^2:
ode[502] := (a*y(x)-b*x)^2*(a^2*diff(y(x),x)^2+b^2)-c^2*(a*diff(y(x),x)+b)^2:
ode[503] := (b2*y(x)+a2*x+c2)^2*diff(y(x),x)^2+(b1*y(x)+a1*x+c1)*diff(y(x),x)+b0*y(x)+a0+c0: #nao seria a0*x?
ode[504] := x*y(x)^2*diff(y(x),x)^2-(y(x)^3+x^3-a)*diff(y(x),x)+x^2*y(x):
ode[505] := x*y(x)^2*diff(y(x),x)^2-2*y(x)^3*diff(y(x),x)+2*x*y(x)^2-x^3:
ode[506] := x^2*(x*y(x)^2-1)*diff(y(x),x)^2+2*x^2*y(x)^2*(y(x)-x)*diff(y(x),x)-y(x)^2*(x^2*y(x)-1):
ode[507] := (y(x)^4-a^2*x^2)*diff(y(x),x)^2+2*a^2*x*y(x)*diff(y(x),x)+y(x)^2*(y(x)^2-a^2):
ode[508] := (y(x)^4+x^2*y(x)^2-x^2)*diff(y(x),x)^2+2*x*y(x)*diff(y(x),x)-y(x)^2:
ode[509] := 9*y(x)^4*(x^2-1)*diff(y(x),x)^2-6*x*y(x)^5*diff(y(x),x)-4*x^2:
ode[510] := x^2*(x^2*y(x)^4-1)*diff(y(x),x)^2+2*x^3*y(x)^3*(y(x)^2-x^2)*diff(y(x),x)-y(x)^2*(x^4*y(x)^2-1):
ode[511] := (a^2*sqrt(y(x)^2+x^2)-x^2)*diff(y(x),x)^2+2*x*y(x)*diff(y(x),x)+a^2*sqrt(x^2+y(x)^2)-y(x)^2:
ode[512] := (a*(x^2+y(x)^2)^(3/2)-x^2)*diff(y(x),x)^2+2*x*y(x)*diff(y(x),x)+a*(y(x)^2+x^2)^(3/2)-y(x)^2:
ode[513] := diff(y(x),x)^2*sin(y(x))+2*x*diff(y(x),x)*cos(y(x))^3-sin(y(x))*cos(y(x))^4:
ode[514] := diff(y(x),x)^2*(a*cos(y(x))+b)-c*cos(y(x))+d:
ode[515] := f(x^2+y(x)^2)*(diff(y(x),x)^2+1)-(x*diff(y(x),x)-y(x))^2:
ode[516] := (x^2+y(x)^2)*f(x/(sqrt(x^2+y(x)^2)))*(diff(y(x),x)^2+1)-(x*diff(y(x),x)-y(x))^2:
ode[517] := (x^2+y(x)^2)*f(y(x)/(sqrt(x^2+y(x)^2)))*(diff(y(x),x)^2+1)-(x*diff(y(x),x)-y(x))^2:
ode[518] := diff(y(x),x)^3-(y(x)-a)^2*(y(x)-b)^2:
ode[519] := diff(y(x),x)^3-f(x)*(a*y(x)^2+b*y(x)+c)^2:
ode[520] := diff(y(x),x)^3+diff(y(x),x)-y(x):
ode[521] := diff(y(x),x)^3+x*diff(y(x),x)-y(x):
ode[522] := diff(y(x),x)^3-(x+5)*diff(y(x),x)+y(x):
ode[523] := diff(y(x),x)^3-a*x*diff(y(x),x)+x^3:
ode[524] := diff(y(x),x)^3-2*y(x)*diff(y(x),x)+y(x)^2:
ode[525] := diff(y(x),x)^2-a*x*y(x)*diff(y(x),x)+2*a*y(x)^2:
ode[526] := diff(y(x),x)^3-(y(x)^2+x*y(x)+x^2)*diff(y(x),x)^2+(y(x)^3*x+y(x)^2*x^2+y(x)*x^3)*diff(y(x),x)-x^3*y(x)^3:
ode[527] := diff(y(x),x)^3-x*y(x)^4*diff(y(x),x)-y(x)^5:
ode[528] := diff(y(x),x)^3+a*diff(y(x),x)^2+b*y(x)+a*b*x:
ode[529] := diff(y(x),x)^3+x*diff(y(x),x)^2-y(x):
ode[530] := diff(y(x),x)^3-y(x)*diff(y(x),x)^2+y(x)^2:
ode[531] := diff(y(x),x)^2-(y(x)^4+x*y(x)^2+x^2)*diff(y(x),x)^2+(x*y(x)^6+x^2*y(x)^4+x^3*y(x)^2)*diff(y(x),x)-x^3*y(x)^6:
ode[532] := a*diff(y(x),x)^3+b*diff(y(x),x)^2+c*diff(y(x),x)-y(x)-d:
ode[533] := x*diff(y(x),x)^3-y(x)*diff(y(x),x)^2+a:
ode[534] := 4*x*diff(y(x),x)^3-6*y(x)*diff(y(x),x)^2+3*y(x)-x:
ode[535] := 8*x*diff(y(x),x)^3-12*y(x)*diff(y(x),x)^2+9*y(x):
ode[536] := (x^2-a^2)*diff(y(x),x)^3+b*x*(x^2-a^2)*diff(y(x),x)^2+diff(y(x),x)+b*x:
ode[537] := x^3*diff(y(x),x)^3-3*x^2*y(x)*diff(y(x),x)^2+(3*x*y(x)^2+x^6)*diff(y(x),x)-y(x)^3-2*x^5*y(x):
ode[538] := 2*(x*diff(y(x),x)+y(x))^3-y(x)*diff(y(x),x):
ode[539] := diff(y(x),x)^3*sin(x)-(y(x)*sin(x)-cos(x)^2)*diff(y(x),x)^2-(y(x)*cos(x)^2+sin(x))*diff(y(x),x)+y(x)*sin(x):
ode[540] := 2*y(x)*diff(y(x),x)^3-y(x)*diff(y(x),x)^2+2*x*diff(y(x),x)-x:
ode[541] := y(x)^2*diff(y(x),x)^3+2*x*diff(y(x),x)-y(x):
ode[542] := 16*y(x)^2*diff(y(x),x)^3+2*x*diff(y(x),x)-y(x):
ode[543] := x*y(x)^2*diff(y(x),x)^3-y(x)^3*diff(y(x),x)^2+x*(x^2+1)*diff(y(x),x)-x^2*y(x):
ode[544] := x^7*y(x)^2*diff(y(x),x)^3-(3*x^6*y(x)^3-1)*diff(y(x),x)^2+3*x^5*y(x)^4*diff(y(x),x)-x^4*y(x)^5:
ode[545] := diff(y(x),x)^4-(y(x)-a)^3*(y(x)-b)^2:
ode[546] := diff(y(x),x)^4+3*(x-1)*diff(y(x),x)^2-3*(2*y(x)-1)*diff(y(x),x)+3*x:
ode[547] := diff(y(x),x)^4-4*y(x)*(x*diff(y(x),x)-2*y(x))^2:
ode[548] := diff(y(x),x)^6-(y(x)-a)^4*(y(x)-b)^3:
ode[549] := x^2*(diff(y(x),x)^2+1)^3-a^2:
ode[550] := diff(y(x),x)^r-a*y(x)^s-b*x^(r*s/(r-s)):
ode[551] := diff(y(x),x)^n-f(x)^n*(y(x)-a)^(n+1)*(y(x)-b)^(n-1):
ode[552] := diff(y(x),x)^n-f(x)*g(y(x)):
ode[553] := a*diff(y(x),x)^m+b*diff(y(x),x)^n-y(x):
ode[554] := x^(n-1)*diff(y(x),x)^n-n*x*diff(y(x),x)+y(x):
ode[555] := sqrt(diff(y(x),x)^2+1)+x*diff(y(x),x)-y(x):
ode[556] := sqrt(diff(y(x),x)^2+1)+x*diff(y(x),x)^2+y(x):
ode[557] := x*(sqrt(diff(y(x),x)^2+1)+diff(y(x),x))-y(x):
ode[558] := a*x*sqrt(diff(y(x),x)^2+1)+x*diff(y(x),x)-y(x):
ode[559] := y(x)*sqrt(diff(y(x),x)^2+1)-a*y(x)*diff(y(x),x)-a*x:
ode[560] := a*y(x)*sqrt(diff(y(x),x)^2+1)-2*x*y(x)*diff(y(x),x)+y(x)^2-x^2:
ode[561] := f(x^2+y(x)^2)*sqrt(diff(y(x),x)^2+1)-x*diff(y(x),x)+y(x):
ode[562] := a*(diff(y(x),x)^3+1)^(1/3)+b*x*diff(y(x),x)-y(x):
ode[563] := ln(diff(y(x),x))+x*diff(y(x),x)+a*y(x)+b:
ode[564] := ln(diff(y(x),x))+a*(x*diff(y(x),x)-y(x)):
ode[565] := y(x)*ln(diff(y(x),x))+diff(y(x),x)-y(x)*ln(y(x))-x*y(x):
ode[566] := sin(diff(y(x),x))+diff(y(x),x)-x:
ode[567] := a*cos(diff(y(x),x))+b*diff(y(x),x)+x:
ode[568] := diff(y(x),x)^2*sin(diff(y(x),x))-y(x):
ode[569] := (diff(y(x),x)^2+1)*sin(x*diff(y(x),x)-y(x))^2-1:
ode[570] := (diff(y(x),x)^2+1)*(arctan(diff(y(x),x))+a*x)+diff(y(x),x):
ode[571] := a*x^n*f(diff(y(x),x))+x*diff(y(x),x)-y(x):
ode[572] := (x*diff(y(x),x)-y(x))^n*f(diff(y(x),x))+y(x)*g(diff(y(x),x))+x*h(diff(y(x),x)):
ode[573] := f(x*diff(y(x),x)^2)+2*x*diff(y(x),x)-y(x):
ode[574] := f(x-(3/2)*diff(y(x),x)^2)+diff(y(x),x)^3-y(x):
ode[575] := diff(y(x),x)*f(x*y(x)*diff(y(x),x)-y(x)^2)-x^2*diff(y(x),x)+x*y(x):
ode[576] := phi(f(x,y(x),diff(y(x),x)),g(x,y(x),diff(y(x),x))):
ode[577] := (diff(y(x),x) = F(y(x)/(x+a))):
ode[578] := (diff(y(x),x) = 2*x+F(y(x)-x^2)):
ode[579] := (diff(y(x),x) = -1/2*a*x+F(y(x)+1/4*a*x^2+1/2*b*x)):
ode[580] := (diff(y(x),x) = F(y(x)*exp(-b*x))*exp(b*x)):
ode[581] := (diff(y(x),x) = 1/2*(1+2*F(1/4*(4*y(x)*x^2+1)/x^2)*x)/x^3):
ode[582] := (diff(y(x),x) = (1+F((y(x)*a*x+1)/a/x)*a*x^2)/a/x^2):
ode[583] := (diff(y(x),x) = -1/2*(a*x^2-2*F(y(x)+1/8*a*x^4))*x):
ode[584] := (diff(y(x),x) = 2*a/(y(x)+2*F(y(x)^2-4*a*x)*a)):
ode[585] := (diff(y(x),x) = F(ln(ln(y(x)))-ln(x))*y(x)):
ode[586] := (diff(y(x),x) = F(y(x)/(x^2+1)^(1/2))*x/(x^2+1)^(1/2)):
ode[587] := (diff(y(x),x) = 1/2*(x^(3/2)+2*F(y(x)-1/6*x^3))*x^(1/2)):
ode[588] := (diff(y(x),x) = (x+F(-(x-y(x))*(y(x)+x)))/y(x)):
ode[589] := (diff(y(x),x) = F(-(-1+y(x)*ln(x))/y(x))*y(x)^2/x):
ode[590] := (diff(y(x),x) = x/(-y(x)+F(y(x)^2+x^2))):
ode[591] := (diff(y(x),x) = F((a*y(x)^2+b*x^2)/a)*x/a^(1/2)/y(x)):
ode[592] := (diff(y(x),x) = 1/5*(6*x^3+5*x^(1/2)+5*F(y(x)-2/5*x^3-2*x^(1/2)))/x):
ode[593] := (diff(y(x),x) = F(y(x)^(3/2)-3/2*exp(x))/y(x)^(1/2)*exp(x)):
ode[594] := (diff(y(x),x) = F(-(-y(x)^2+b)/x^2)*x/y(x)):
ode[595] := (diff(y(x),x) = F((x*y(x)^2+1)/x)/y(x)/x^2):
ode[596] := (diff(y(x),x) = (-2*x^2+x+F(y(x)+x^2-x))/x):
ode[597] := (diff(y(x),x) = 2*a/x^2/(-y(x)+2*F((x*y(x)^2-4*a)/x)*a)):
ode[598] := (diff(y(x),x) = (y(x)+F(1/x*y(x)))/(x-1)):
ode[599] := (diff(y(x),x) = (-x+F(y(x)^2+x^2))/y(x)):
ode[600] := (diff(y(x),x) = F(-(-1+2*y(x)*ln(x))/y(x))*y(x)^2/x):
ode[601] := (diff(y(x),x) = F(-(x-y(x))*(y(x)+x))*x/y(x)):
ode[602] := (diff(y(x),x) = 1/x^3*y(x)^2*(2+F((x^2-y(x))/y(x)/x^2)*x^2)):
ode[603] := (diff(y(x),x) = 1/(2*x+1)*(2*F(y(x)+ln(2*x+1))*x+F(y(x)+ln(2*x+1))-2)):
ode[604] := (diff(y(x),x) = 2*y(x)^3/(1+2*F((1+4*x*y(x)^2)/y(x)^2)*y(x))):
ode[605] := (diff(y(x),x) = -1/4*y(x)^2*(2*x-F(-1/2*(-2+y(x)*x)/y(x)))/x):
ode[606] := (diff(y(x),x) = -(-exp(-x^2)+x^2*exp(-x^2)-F(y(x)-1/2*x^2*exp(-x^2)))*x):
ode[607] := (diff(y(x),x) = (2*y(x)+F(1/x^2*y(x))*x^3)/x):
ode[608] := (diff(y(x),x) = y(x)^(1/2)/(y(x)^(1/2)+F((x-y(x))/y(x)^(1/2)))):
ode[609] := (diff(y(x),x) = (-3*y(x)*x^2+F(y(x)*x^3))/x^3):
ode[610] := (diff(y(x),x) = (y(x)+F(1/x*y(x))*x^2)/x):
ode[611] := (diff(y(x),x) = (-2*x-y(x)+F((y(x)+x)*x))/x):
ode[612] := (diff(y(x),x) = 1/2*(y(x)*exp(-1/4*x^2)*x+2*F(y(x)*exp(-1/4*x^2)))*exp(1/4*x^2)):
ode[613] := (diff(y(x),x) = (x+y(x)+F(-(-y(x)+x*ln(x))/x)*x^2)/x):
ode[614] := (diff(y(x),x) = x*(a-1)*(a+1)/(y(x)+F(1/2*y(x)^2-1/2*a^2*x^2+1/2*x^2)*a^2-F(1/2*y(x)^2-1/2*a^2*x^2+1/2*x^2))):
ode[615] := (diff(y(x),x) = y(x)/x/(-1+F(y(x)*x)*y(x))):
ode[616] := (diff(y(x),x) = -1/x^4*(-x^2+2*y(x)*x^3-F((y(x)*x-1)*x))):
ode[617] := (diff(y(x),x) = 1/9*F(1/3*(3+y(x))*exp(3/2*x^2)/y(x))*x*y(x)^2*exp(3*x^2)/exp(9/2*x^2)):
ode[618] := (diff(y(x),x) = (y(x)+1)*((y(x)-ln(y(x)+1)-ln(x))*x+1)/y(x)/x):
ode[619] := (diff(y(x),x) = 6*y(x)/(8*y(x)^4+9*y(x)^3+12*y(x)^2+6*y(x)-F(-1/3*y(x)^4-1/2*y(x)^3-y(x)^2-y(x)+x))):
ode[620] := (diff(y(x),x) = (y(x)^2+2*y(x)*x+x^2+exp(2*F(-(x-y(x))*(y(x)+x))))/(y(x)^2+2*y(x)*x+x^2-exp(2*F(-(x-y(x))*(y(x)+x))))):
ode[621] := (diff(y(x),x) = 1/(y(x)+x^(1/2))):
ode[622] := (diff(y(x),x) = 1/(y(x)+2+(3*x+1)^(1/2))):
ode[623] := (diff(y(x),x) = x^2/(y(x)+x^(3/2))):
ode[624] := (diff(y(x),x) = x^(5/3)/(y(x)+x^(4/3))):
ode[625] := (diff(y(x),x) = 1/2*I*x^2*(I-2*(-x^3+6*y(x))^(1/2))):
ode[626] := (diff(y(x),x) = x/(y(x)+(x^2+1)^(1/2))):
ode[627] := (diff(y(x),x) = (-1+y(x)*ln(x))^2/x):
ode[628] := (diff(y(x),x) = 1/3*x*(-2+3*(x^2+3*y(x))^(1/2))):
ode[629] := (diff(y(x),x) = (-1+2*y(x)*ln(x))^2/x):
ode[630] := (diff(y(x),x) = 1/(y(x)*exp(-b*x)+1)*exp(b*x)):
ode[631] := (diff(y(x),x) = 1/2*x^2*(1+2*(x^3-6*y(x))^(1/2))):
ode[632] := (diff(y(x),x) = 1/(y(x)*exp(-x)+1)*exp(x)):
ode[633] := (diff(y(x),x) = 1/(y(x)*exp(-2/3*x)+1)*exp(2/3*x)):
ode[634] := (diff(y(x),x) = 1/2*(1+2*x^5*(4*y(x)*x^2+1)^(1/2))/x^3):
ode[635] := (diff(y(x),x) = 1/2*x*(x+2*(x^3-6*y(x))^(1/2))):
ode[636] := (diff(y(x),x) = (-ln(y(x))+x^2)*y(x)):
ode[637] := (diff(y(x),x) = 1/(y(x)*exp(x^2)+1)*exp(-x^2)*x):
ode[638] := (diff(y(x),x) = -(-ln(ln(y(x)))+ln(x))*y(x)):
ode[639] := (diff(y(x),x) = (-ln(ln(y(x)))+ln(x))^2*y(x)):
ode[640] := (diff(y(x),x) = 1/(ln(ln(y(x)))-ln(x)+1)*y(x)):
ode[641] := (diff(y(x),x) = 1/2*(1+2*(4*y(x)*x^2+1)^(1/2)*x^4)/x^3):
ode[642] := (diff(y(x),x) = (-y(x)^2+4*a*x)^2/y(x)):
ode[643] := (diff(y(x),x) = 1/3*x*(-2+3*x*(x^2+3*y(x))^(1/2))):
ode[644] := (diff(y(x),x) = -1/2*x^2*(a*x-2*(a*(a*x^4+8*y(x)))^(1/2))):
ode[645] := (diff(y(x),x) = (-ln(y(x))+x)*y(x)):
ode[646] := (diff(y(x),x) = 1/2*(x^3+x^2+2*(x^3-6*y(x))^(1/2))/(x+1)):
ode[647] := (diff(y(x),x) = (a*y(x)^2+b*x^2)^2*x/a^(5/2)/y(x)):
ode[648] := (diff(y(x),x) = -1/2*x^3*(a^(1/2)*x+a^(1/2)-2*(a*x^4+8*y(x))^(1/2))*a^(1/2)/(x+1)):
ode[649] := (diff(y(x),x) = -1/4*x+1/4+x*(x^2-2*x+1+8*y(x))^(1/2)):
ode[650] := (diff(y(x),x) = -1/2*x-1/2*a+x*(x^2+2*a*x+a^2+4*y(x))^(1/2)):
ode[651] := (diff(y(x),x) = (ln(y(x))+x^2)*y(x)/x):
ode[652] := (diff(y(x),x) = (2*a+x*(-y(x)^2+4*a*x)^(1/2))/y(x)):
ode[653] := (diff(y(x),x) = -1/2*x+1+x*(x^2-4*x+4*y(x))^(1/2)):
ode[654] := (diff(y(x),x) = -1/3*(2*x^2+2*x-3*(x^2+3*y(x))^(1/2))/(x+1)):
ode[655] := (diff(y(x),x) = y(x)^3/(y(x)*exp(-2/3*x)+1)*exp(-4/3*x)):
ode[656] := (diff(y(x),x) = (ln(y(x))+x^3)*y(x)/x):
ode[657] := (diff(y(x),x) = -1/4*x+1/4+x^2*(x^2-2*x+1+8*y(x))^(1/2)):
ode[658] := (diff(y(x),x) = -1/4*(x^2-1-4*(x^2-2*x+1+8*y(x))^(1/2))/(x+1)):
ode[659] := (diff(y(x),x) = -1/2*a*x-1/2*b+x*(a^2*x^2+2*a*x*b+b^2+4*a*y(x)-4*c)^(1/2)):
ode[660] := (diff(y(x),x) = -1/2*x-1/2*a+x^2*(x^2+2*a*x+a^2+4*y(x))^(1/2)):
ode[661] := (diff(y(x),x) = -1/2*a*x-1/2*b+x^2*(a^2*x^2+2*a*x*b+b^2+4*a*y(x)-4*c)^(1/2)):
ode[662] := (diff(y(x),x) = 1/2*x+1/2+x^2*(x^2+2*x+1-4*y(x))^(1/2)):
ode[663] := (diff(y(x),x) = (2*a+x^2*(-y(x)^2+4*a*x)^(1/2))/y(x)):
ode[664] := (diff(y(x),x) = -1/2*x+1+x^2*(x^2-4*x+4*y(x))^(1/2)):
ode[665] := (diff(y(x),x) = -1/2*(a^(1/2)*x^4+a^(1/2)*x^3-2*(a*x^4+8*y(x))^(1/2))*a^(1/2)/(x+1)):
ode[666] := (diff(y(x),x) = (-ln(y(x))+1+x^2+x^3)*y(x)):
ode[667] := (diff(y(x),x) = y(x)^3/(y(x)*exp(-b*x)+1)*exp(-2*b*x)):
ode[668] := (diff(y(x),x) = 1/(y(x)*exp(-x)+1)*y(x)^3*exp(-2*x)):
ode[669] := (diff(y(x),x) = 1/4*(-2*y(x)^(3/2)+3*exp(x))^2*exp(x)/y(x)^(1/2)):
ode[670] := (diff(y(x),x) = 1/2*I*x*(I-2*(-x^2+4*ln(a)+4*ln(y(x)))^(1/2))*y(x)):
ode[671] := (diff(y(x),x) = (x*y(x)^2+1)^2/y(x)/x^4):
ode[672] := (diff(y(x),x) = x^2*(3*x+(-9*x^4+4*y(x)^3)^(1/2))/y(x)^2):
ode[673] := (diff(y(x),x) = 1/2*(-sin(2*y(x))+cos(2*y(x))*x^2+x^2)/x):
ode[674] := (diff(y(x),x) = -1/2*(x^2-x-2-2*(x^2-4*x+4*y(x))^(1/2))/(x+1)):
ode[675] := (diff(y(x),x) = (y(x)+x^3*a*exp(x)+a*x^4+x^3*a-x*y(x)^2*exp(x)-y(x)^2*x^2-x*y(x)^2)/x):
ode[676] := (diff(y(x),x) = 1/2*(x+1+2*x^6*(4*y(x)*x^2+1)^(1/2))/x^3/(x+1)):
ode[677] := (diff(y(x),x) = (y(x)+x^3*a*ln(x+1)+a*x^4+x^3*a-x*y(x)^2*ln(x+1)-y(x)^2*x^2-x*y(x)^2)/x):
ode[678] := (diff(y(x),x) = 1/2*x^2*(x+1+2*x*(x^3-6*y(x))^(1/2))/(x+1)):
ode[679] := (diff(y(x),x) = (y(x)+x^3*ln(x)+x^4+x^3+7*x*y(x)^2*ln(x)+7*y(x)^2*x^2+7*x*y(x)^2)/x):
ode[680] := (diff(y(x),x) = 1/2*(x^2+2*x+1+2*(x^2+2*x+1-4*y(x))^(1/2))/(x+1)):
ode[681] := (diff(y(x),x) = (y(x)+x^3*b*ln(1/x)+x^4*b+x^3*b+x*a*y(x)^2*ln(1/x)+x^2*a*y(x)^2+x*a*y(x)^2)/x):
ode[682] := (diff(y(x),x) = 2*a/x/(-y(x)*x+2*x*a*y(x)^2-8*a^2)):
ode[683] := (diff(y(x),x) = y(x)*(-1+ln(x*(x+1))*y(x)*x^4-ln(x*(x+1))*x^3)/x):
ode[684] := (diff(y(x),x) = (y(x)+(y(x)^2+x^2)^(1/2)*x^2)/x):
ode[685] := (diff(y(x),x) = (y(x)+ln((x+1)*(x-1))*x^3+7*ln((x+1)*(x-1))*x*y(x)^2)/x):
ode[686] := (diff(y(x),x) = y(x)^3/(y(x)*exp(x^2)+1)*x*exp(2*x^2)):
ode[687] := (diff(y(x),x) = (y(x)-ln((x+1)/(x-1))*x^3+ln((x+1)/(x-1))*x*y(x)^2)/x):
ode[688] := (diff(y(x),x) = (y(x)+exp((x+1)/(x-1))*x^3+exp((x+1)/(x-1))*x*y(x)^2)/x):
ode[689] := (diff(y(x),x) = (y(x)*x-y(x)-exp(x+1)*x^3+exp(x+1)*x*y(x)^2)/(x-1)/x):
ode[690] := (diff(y(x),x) = 1/4*(-x^2+1+4*x^3*(x^2-2*x+1+8*y(x))^(1/2))/(x+1)):
ode[691] := (diff(y(x),x) = 1/2*(-sin(2*y(x))+cos(2*y(x))*x^3+x^3)/x):
ode[692] := (diff(y(x),x) = (y(x)+x^3*(y(x)^2+x^2)^(1/2))/x):
ode[693] := (diff(y(x),x) = (1+y(x)^2*exp(-2*b*x)+y(x)^3*exp(-3*b*x))*exp(b*x)):
ode[694] := (diff(y(x),x) = 1/2*(x+1+2*(4*y(x)*x^2+1)^(1/2)*x^3)/x^3/(x+1)):
ode[695] := (diff(y(x),x) = (y(x)*ln(x-1)+x^4+x^3+y(x)^2*x^2+x*y(x)^2)/ln(x-1)/x):
ode[696] := (diff(y(x),x) = (y(x)*ln(x-1)+exp(x+1)*x^3+7*exp(x+1)*x*y(x)^2)/ln(x-1)/x):
ode[697] := (diff(y(x),x) = (1+y(x)^2*exp(-4/3*x)+y(x)^3*exp(-2*x))*exp(2/3*x)):
ode[698] := (diff(y(x),x) = (1+y(x)^2*exp(-2*x)+y(x)^3*exp(-3*x))*exp(x)):
ode[699] := (diff(y(x),x) = 1/3*x*(-2*x-2+3*x^2*(x^2+3*y(x))^(1/2))/(x+1)):
ode[700] := (diff(y(x),x) = 1/x/(x*y(x)^2+1+x)/y(x)):
ode[701] := (diff(y(x),x) = (2*x*exp(x)-2*x-ln(x)-1+x^4*ln(x)+x^4-2*y(x)*x^2*ln(x)-2*y(x)*x^2+y(x)^2*ln(x)+y(x)^2)/(exp(x)-1)):
ode[702] := (diff(y(x),x) = (-y(x)*exp(x)+y(x)*x-x^3*ln(x)-x^3-x*y(x)^2*ln(x)-x*y(x)^2)/(-exp(x)+x)/x):
ode[703] := (diff(y(x),x) = y(x)*(1-x+y(x)*x^2*ln(x)+y(x)*x^3-x*ln(x)-x^2)/(x-1)/x):
ode[704] := (diff(y(x),x) = (y(x)*ln(x)*x-y(x)+2*x^5*b+2*x^3*a*y(x)^2)/(x*ln(x)-1)/x):
ode[705] := (diff(y(x),x) = (ln(y(x))+x+x^3+x^4)*y(x)/x):
ode[706] := (diff(y(x),x) = -1/8*(-ln(y(x)-1)+ln(y(x)+1)+2*ln(x))*x*(y(x)+1)^2):
ode[707] := (diff(y(x),x) = 1/16*(-ln(y(x)-1)+ln(y(x)+1)+2*ln(x))^2*x*(y(x)+1)^2):
ode[708] := (diff(y(x),x) = (-y(x)^2+4*a*x)^3/(-y(x)^2+4*a*x-1)/y(x)):
ode[709] := (diff(y(x),x) = (2*a*x+2*a+x^3*(-y(x)^2+4*a*x)^(1/2))/(x+1)/y(x)):
ode[710] := (diff(y(x),x) = (-ln(x)+exp(1/x)+4*y(x)*x^2+2*x+2*x*y(x)^2+2*x^3)/(ln(x)-exp(1/x))):
ode[711] := (diff(y(x),x) = -(ln(y(x))*x+ln(y(x))-1)*y(x)/(x+1)):
ode[712] := (diff(y(x),x) = 1/2*(x^2+2*x+1+2*x^3*(x^2+2*x+1-4*y(x))^(1/2))/(x+1)):
ode[713] := (diff(y(x),x) = (-b*y(x)*a+b^2+b*a+b^2*x-b*a*x^(1/2)-a^2)/a/(-a*y(x)+b+a+b*x-a*x^(1/2))):
ode[714] := (diff(y(x),x) = -y(x)*(-ln(1/x)+exp(x)+y(x)*x^2*ln(x)+y(x)*x^3-x*ln(x)-x^2)/(-ln(1/x)+exp(x))/x):
ode[715] := (diff(y(x),x) = 1/2*(-x^2+x+2+2*x^3*(x^2-4*x+4*y(x))^(1/2))/(x+1)):
ode[716] := (diff(y(x),x) = (3*x^4+3*x^3+(9*x^4-4*y(x)^3)^(1/2))/(x+1)/y(x)^2):
ode[717] := (diff(y(x),x) = -1/2*(x^2+x+a*x+a-2*(x^2+2*a*x+a^2+4*y(x))^(1/2))/(x+1)):
ode[718] := (diff(y(x),x) = (1+y(x)^2*exp(2*x^2)+y(x)^3*exp(3*x^2))*exp(-x^2)*x):
ode[719] := (diff(y(x),x) = y(x)*(-exp(x)+ln(2*x)*x^2*y(x)-ln(2*x)*x)/x/exp(x)):
ode[720] := (diff(y(x),x) = x^3*(3*x+3+(9*x^4-4*y(x)^3)^(1/2))/(x+1)/y(x)^2):
ode[721] := (diff(y(x),x) = 1/36*(18*x^(3/2)+36*y(x)^2-12*y(x)*x^3+x^6)*x^(1/2)):
ode[722] := (diff(y(x),x) = -y(x)^3/(-1+2*y(x)*ln(x)-y(x))/x):
ode[723] := (diff(y(x),x) = 2*a/(y(x)+2*a*y(x)^4-16*a^2*x*y(x)^2+32*a^3*x^2)):
ode[724] := (diff(y(x),x) = -y(x)^3/(-1+y(x)*ln(x)-y(x))/x):
ode[725] := (diff(y(x),x) = (-ln(x)+2*ln(2*x)*x*y(x)+ln(2*x)+ln(2*x)*y(x)^2+ln(2*x)*x^2)/ln(x)):
ode[726] := (diff(y(x),x) = -(b*y(x)*a-b*c+b^2*x+b*a*x^(1/2)-a^2)/a/(a*y(x)-c+b*x+a*x^(1/2))):
ode[727] := (diff(y(x),x) = (2*x+2+y(x))/(ln(y(x))+2*x-1)*y(x)/(x+1)):
ode[728] := (diff(y(x),x) = 1/(6*y(x)^2+x)*(x^3+3*y(x)^2)*y(x)/x):
ode[729] := (diff(y(x),x) = y(x)*(x-y(x))/x/(x-y(x)^3)):
ode[730] := (diff(y(x),x) = 1/4*(2*y(x)^(3/2)-3*exp(x))^3*exp(x)/(2*y(x)^(3/2)-3*exp(x)+2)/y(x)^(1/2)):
ode[731] := (diff(y(x),x) = 1/x*(1+2*y(x))/(-2+x*y(x)^2+2*y(x)^3*x)):
ode[732] := (diff(y(x),x) = 1/2*(-x^2-x-a*x-a+2*x^3*(x^2+2*a*x+a^2+4*y(x))^(1/2))/(x+1)):
ode[733] := (diff(y(x),x) = (2*x*sin(x)-ln(2*x)+ln(2*x)*x^4-2*ln(2*x)*x^2*y(x)+ln(2*x)*y(x)^2)/sin(x)):
ode[734] := (diff(y(x),x) = (-ln(y(x))*x-ln(y(x))+x^3)*y(x)/(x+1)):
ode[735] := (diff(y(x),x) = (-1+2*y(x)*ln(x))^3/(-1+2*y(x)*ln(x)-y(x))/x):
ode[736] := (diff(y(x),x) = (2*x^2+2*x+x^4-2*y(x)*x^2-1+y(x)^2)/(x+1)):
ode[737] := (diff(y(x),x) = 1/(x^2-y(x))*x*(-1+x-2*y(x)*x+2*x^3)):
ode[738] := (diff(y(x),x) = 2*a/(-y(x)*x^2+2*a*y(x)^4*x^2-16*a^2*x*y(x)^2+32*a^3)):
ode[739] := (diff(y(x),x) = 1/x*(1+2*y(x))/(-2+y(x)*x+2*x*y(x)^2)):
ode[740] := (diff(y(x),x) = (x+y(x)^4-2*y(x)^2*x^2+x^4)/y(x)):
ode[741] := (diff(y(x),x) = (a*y(x)^2+b*x^2)^3/a^(5/2)*x/(a*y(x)^2+b*x^2+a)/y(x)):
ode[742] := (diff(y(x),x) = -cos(y(x))/(sin(y(x))*x-1)*(x-cos(y(x))+1)/(x+1)):
ode[743] := (diff(y(x),x) = -1/32*I*(8*I*x+16*y(x)^4+8*y(x)^2*x^2+x^4)/y(x)):
ode[744] := (diff(y(x),x) = x/(-y(x)+x^4+2*y(x)^2*x^2+y(x)^4)):
ode[745] := (diff(y(x),x) = (-1+y(x)*ln(x))^3/(-1+y(x)*ln(x)-y(x))/x):
ode[746] := (diff(y(x),x) = -I*(I*x+x^4+2*y(x)^2*x^2+y(x)^4)/y(x)):
ode[747] := (diff(y(x),x) = -y(x)*(tan(x)+ln(2*x)*x-ln(2*x)*x^2*y(x))/x/tan(x)):
ode[748] := (diff(y(x),x) = y(x)*(y(x)+x)/x/(x+y(x)^3)):
ode[749] := (diff(y(x),x) = (x-y(x))^2*(y(x)+x)^2*x/y(x)):
ode[750] := (diff(y(x),x) = 1/(6*y(x)^2+x)*(x^2+3*y(x)^2)*y(x)/x):
ode[751] := (diff(y(x),x) = (ln(y(x))*x+ln(y(x))+x^4)*y(x)/x/(x+1)):
ode[752] := (diff(y(x),x) = cos(y(x))/(sin(y(x))*x-1)*(cos(y(x))*x^3-x-1)/(x+1)):
ode[753] := (diff(y(x),x) = (x+1+x^4*ln(y(x)))*y(x)*ln(y(x))/x/(x+1)):
ode[754] := (diff(y(x),x) = (y(x)*x+x^3+x*y(x)^2+y(x)^3)/x^2):
ode[755] := (diff(y(x),x) = y(x)^(3/2)/(y(x)^(3/2)+x^2-2*y(x)*x+y(x)^2)):
ode[756] := (diff(y(x),x) = (2*y(x)*x^3+x^6+y(x)^2*x^2+y(x)^3)/x^4):
ode[757] := (diff(y(x),x) = (-4*y(x)*x+x^3+2*x^2-4*x-8)/(-8*y(x)+2*x^2+4*x-8)):
ode[758] := (diff(y(x),x) = (2*x+2+y(x)*x^3)/(ln(y(x))+2*x-1)*y(x)/(x+1)):
ode[759] := (diff(y(x),x) = -1/243*I*(54*I*x^2+81*y(x)^4+18*y(x)^2*x^4+x^8)*x/y(x)):
ode[760] := (diff(y(x),x) = (x*y(x)^2+1)^3/x^4/(x*y(x)^2+1+x)/y(x)):
ode[761] := (diff(y(x),x) = (-4*y(x)*x-x^3+4*x^2-4*x+8)/(8*y(x)+2*x^2-8*x+8)):
ode[762] := (diff(y(x),x) = -(ln(y(x))*x+ln(y(x))-x)*y(x)/x/(x+1)):
ode[763] := (diff(y(x),x) = (ln(y(x))*x+ln(y(x))+x)*y(x)/x/(x+1)):
ode[764] := (diff(y(x),x) = (-ln(y(x))*x-ln(y(x))+x^4)*y(x)/x/(x+1)):
ode[765] := (diff(y(x),x) = y(x)*(-1-ln((x-1)*(1+x)/x)+ln((x-1)*(1+x)/x)*x*y(x))/x):
ode[766] := (diff(y(x),x) = y(x)*(-ln(x)-x*ln((x-1)*(1+x)/x)+ln((x-1)*(1+x)/x)*x^2*y(x))/x/ln(x)):
ode[767] := (diff(y(x),x) = (-8*y(x)*x-x^3+2*x^2-8*x+32)/(32*y(x)+4*x^2-8*x+32)):
ode[768] := (diff(y(x),x) = y(x)*(y(x)+1)/x/(-y(x)-1+y(x)*x)):
ode[769] := (diff(y(x),x) = -1/32*I*(16*I*x^2+16*y(x)^4+8*y(x)^2*x^4+x^8)*x/y(x)):
ode[770] := (diff(y(x),x) = 2*y(x)^6/(y(x)^3+2+16*x*y(x)^2+32*y(x)^4*x^2)):
ode[771] := (diff(y(x),x) = (-4*y(x)*a*x-a^2*x^3-2*a*x^2*b-4*a*x+8)/(8*y(x)+2*a*x^2+4*b*x+8)):
ode[772] := (diff(y(x),x) = (x+1+ln(y(x))*x)*ln(y(x))*y(x)/x/(x+1)):
ode[773] := (diff(y(x),x) = 1/(x-1)*(y(x)*x+x+y(x)^2)/(y(x)+x)):
ode[774] := (diff(y(x),x) = (-4*y(x)*x-x^3-2*a*x^2-4*x+8)/(8*y(x)+2*x^2+4*a*x+8)):
ode[775] := (diff(y(x),x) = (x-y(x)+y(x)^(1/2))/(x-y(x)+y(x)^(1/2)+1)):
ode[776] := (diff(y(x),x) = y(x)*(-ln(1/x)-ln((x^2+1)/x)*x+ln((x^2+1)/x)*x^2*y(x))/x/ln(1/x)):
ode[777] := (diff(y(x),x) = y(x)*(y(x)+1)/x/(-y(x)-1+x*y(x)^4)):
ode[778] := (diff(y(x),x) = (-3*y(x)*x^2+1+y(x)^2*x^6+y(x)^3*x^9)/x^3):
ode[779] := (diff(y(x),x) = 1/(x-1)*(y(x)*x^3+x^3+x*y(x)^2+y(x)^3)/x^3):
ode[780] := (diff(y(x),x) = (y(x)*x+y(x)+x*(y(x)^2+x^2)^(1/2))/x/(x+1)):
ode[781] := (diff(y(x),x) = 1/(6*y(x)^2+x)*(x^4+x^3+x+3*y(x)^2)*y(x)/x):
ode[782] := (diff(y(x),x) = y(x)*(-tanh(1/x)-ln((x^2+1)/x)*x+ln((x^2+1)/x)*x^2*y(x))/x/tanh(1/x)):
ode[783] := (diff(y(x),x) = -y(x)*(tanh(x)+ln(2*x)*x-ln(2*x)*x^2*y(x))/x/tanh(x)):
ode[784] := (diff(y(x),x) = (-sinh(x)+x^2*ln(x)+2*y(x)*ln(x)*x+ln(x)+y(x)^2*ln(x))/sinh(x)):
ode[785] := (diff(y(x),x) = -(ln(x)-sinh(x)*x^2-2*sinh(x)*x*y(x)-sinh(x)-sinh(x)*y(x)^2)/ln(x)):
ode[786] := (diff(y(x),x) = (y(x)*ln(x)+cosh(x)*x*a*y(x)^2+cosh(x)*x^3*b)/x/ln(x)):
ode[787] := (diff(y(x),x) = 1/(x^2-y(x))*x*(-x-1+x^2-2*y(x)*x^2+2*x^4)/(x+1)):
ode[788] := (diff(y(x),x) = -y(x)*(ln(x-1)+coth(1+x)*x-coth(1+x)*x^2*y(x))/x/ln(x-1)):
ode[789] := (diff(y(x),x) = -(ln(x-1)-coth(1+x)*x^2-2*coth(1+x)*x*y(x)-coth(1+x)-coth(1+x)*y(x)^2)/ln(x-1)):
ode[790] := (diff(y(x),x) = (2*x*ln(1/(x-1))-coth((1+x)/(x-1))+coth((1+x)/(x-1))*y(x)^2-2*coth((1+x)/(x-1))*x^2*y(x)+coth((1+x)/(x-1))*x^4)/ln(1/(x-1))):
ode[791] := (diff(y(x),x) = (2*x^2*cosh(1/(x-1))-2*x*cosh(1/(x-1))-1+y(x)^2-2*x^2*y(x)+x^4-x+x*y(x)^2-2*x^3*y(x)+x^5)/(x-1)/cosh(1/(x-1))):
ode[792] := (diff(y(x),x) = y(x)*(-cosh(1/(1+x))*x+cosh(1/(1+x))-x+x^2*y(x)-x^2+x^3*y(x))/x/(x-1)/cosh(1/(1+x))):
ode[793] := (diff(y(x),x) = -1/x*y(x)*(y(x)*x+1)/(y(x)*x+1-y(x))):
ode[794] := (diff(y(x),x) = y(x)/x/(-1+y(x)+y(x)^3*x^2+y(x)^4*x^3)):
ode[795] := (diff(y(x),x) = (x^3+3*a*x^2+3*a^2*x+a^3+x*y(x)^2+a*y(x)^2+y(x)^3)/(x+a)^3):
ode[796] := (diff(y(x),x) = 1/3*y(x)^3*x*exp(3*x^2)/(3*exp(3/2*x^2)+exp(3/2*x^2)*y(x)+3*y(x))/exp(9/2*x^2)):
ode[797] := (diff(y(x),x) = y(x)*(-1-cosh((1+x)/(x-1))*x+cosh((1+x)/(x-1))*x^2*y(x)-cosh((1+x)/(x-1))*x^2+cosh((1+x)/(x-1))*x^3*y(x))/x):
ode[798] := (diff(y(x),x) = 1/(2*y(x)^3+y(x)+x)*(x+y(x)+1)*y(x)/(x+1)):
ode[799] := (diff(y(x),x) = y(x)*(-1-x*exp((1+x)/(x-1))+x^2*exp((1+x)/(x-1))*y(x)-x^2*exp((1+x)/(x-1))+x^3*exp((1+x)/(x-1))*y(x))/x):
ode[800] := (diff(y(x),x) = (-b^3+6*b^2*x-12*b*x^2+8*x^3-4*y(x)^2*b+8*x*y(x)^2+8*y(x)^3)/(-b+2*x)^3):
ode[801] := (diff(y(x),x) = 1/2*(y(x)*exp(-1/4*x^2)*x+2+2*y(x)^2*exp(-1/2*x^2)+2*y(x)^3*exp(-3/4*x^2))*exp(1/4*x^2)):
ode[802] := (diff(y(x),x) = -(-1/x-_F1(y(x)+1/x))/x):
ode[803] := (diff(y(x),x) = _F1(y(x)^2-2*ln(x))/(y(x)^2)^(1/2)/x):
ode[804] := (diff(y(x),x) = 1/2*(-sin(2*y(x))*x-sin(2*y(x))+cos(2*y(x))*x^4+x^4)/x/(x+1)):
ode[805] := (diff(y(x),x) = (y(x)*x+y(x)+x^4*(y(x)^2+x^2)^(1/2))/x/(x+1)):
ode[806] := (diff(y(x),x) = 1/2*(-sin(2*y(x))*x-sin(2*y(x))+x*cos(2*y(x))+x)/x/(x+1)):
ode[807] := (diff(y(x),x) = -1/(-x-_F1(y(x)-ln(x))*y(x)*exp(y(x)))):
ode[808] := (diff(y(x),x) = 1/x*(1+2*y(x))*(y(x)+1)/(-2*y(x)-2+x+2*y(x)*x)):
ode[809] := (diff(y(x),x) = (-125+300*x-240*x^2+64*x^3-80*y(x)^2+64*x*y(x)^2+64*y(x)^3)/(-5+4*x)^3):
ode[810] := (diff(y(x),x) = (x+y(x)+y(x)^2-2*x*ln(x)*y(x)+x^2*ln(x)^2)/x):
ode[811] := (diff(y(x),x) = (x^3*exp(y(x))+x^4+exp(y(x))*y(x)-exp(y(x))*ln(exp(y(x))+x)+x*y(x)-ln(exp(y(x))+x)*x+x)/x^2):
ode[812] := (diff(y(x),x) = 1/2*x^2+(x^3-6*y(x))^(1/2)+x^2*(x^3-6*y(x))^(1/2)+x^3*(x^3-6*y(x))^(1/2)):
ode[813] := (diff(y(x),x) = 1/2*(-a^(1/2)*x^3+2*(a*x^4+8*y(x))^(1/2)+2*x^2*(a*x^4+8*y(x))^(1/2)+2*x^3*(a*x^4+8*y(x))^(1/2))*a^(1/2)):
ode[814] := (diff(y(x),x) = y(x)/x*(-3*y(x)*x^3-3+y(x)^2*x^7)/(y(x)*x^3+1)):
ode[815] := (diff(y(x),x) = 1/81*(3+y(x))^3*exp(9/2*x^2)*x*exp(3/2*x^2)/(3*exp(3/2*x^2)+exp(3/2*x^2)*y(x)+3*y(x))/exp(3*x^2)):
ode[816] := (diff(y(x),x) = (x-y(x))^3*(y(x)+x)^3*x/(-y(x)^2+x^2-1)/y(x)):
ode[817] := (diff(y(x),x) = 1/2*(-2*cos(y(x))+x^3*cos(2*y(x))*ln(x)+x^3*ln(x))/sin(y(x))/ln(x)/x):
ode[818] := (diff(y(x),x) = y(x)/x/(-1+y(x)*x+y(x)^3*x+x*y(x)^4)):
ode[819] := (diff(y(x),x) = -2/3*x+(x^2+3*y(x))^(1/2)+x^2*(x^2+3*y(x))^(1/2)+x^3*(x^2+3*y(x))^(1/2)):
ode[820] := (diff(y(x),x) = 1/2*(-2*cos(y(x))+x^2*cos(2*y(x))*ln(x)+x^2*ln(x))/sin(y(x))/ln(x)/x):
ode[821] := (diff(y(x),x) = 1/x*y(x)*(y(x)*x+1)/(-y(x)*x-1+y(x)^4*x^3)):
ode[822] := (diff(y(x),x) = 1/4*(4*exp(-x^2)-4*x^2*exp(-x^2)+4*y(x)^2-4*x^2*exp(-x^2)*y(x)+x^4*exp(-x^2)^2)*x):
ode[823] := (diff(y(x),x) = y(x)*(y(x)+x)/x/(x+y(x)+y(x)^3+y(x)^4)):
ode[824] := (diff(y(x),x) = y(x)/x^2/(x-1)*(x^3+y(x)*x^2+y(x)^2)/(y(x)+x)):
ode[825] := (diff(y(x),x) = ((x^2+1)^(3/2)*x^2+(x^2+1)^(3/2)+y(x)^2*(x^2+1)^(3/2)+y(x)^3*x^2+y(x)^3)*x/(x^2+1)^3):
ode[826] := (diff(y(x),x) = 1/(6*y(x)^2+x)*(3*x*y(x)^2+x+3*y(x)^2)*y(x)/x/(x+1)):
ode[827] := (diff(y(x),x) = -(-y(x)+x^3*(y(x)^2+x^2)^(1/2)-x^2*(y(x)^2+x^2)^(1/2)*y(x))/x):
ode[828] := (diff(y(x),x) = 1/x*(1+2*y(x))*(y(x)+1)/(-2*y(x)-2+y(x)^3*x+2*x*y(x)^4)):
ode[829] := (diff(y(x),x) = 1/2*(1+2*(4*y(x)*x^2+1)^(1/2)*x^3+2*x^5*(4*y(x)*x^2+1)^(1/2)+2*x^6*(4*y(x)*x^2+1)^(1/2))/x^3):
ode[830] := (diff(y(x),x) = y(x)*(x-y(x))/x/(x-y(x)-y(x)^3-y(x)^4)):
ode[831] := (diff(y(x),x) = (2*a+(-y(x)^2+4*a*x)^(1/2)+x^2*(-y(x)^2+4*a*x)^(1/2)+x^3*(-y(x)^2+4*a*x)^(1/2))/y(x)):
ode[832] := (diff(y(x),x) = 1/(y(x)^4+y(x)^3+y(x)^2+x)*(x+y(x)+1)*y(x)/(x+1)):
ode[833] := (diff(y(x),x) = -(-y(x)+x^4*(y(x)^2+x^2)^(1/2)-x^3*(y(x)^2+x^2)^(1/2)*y(x))/x):
ode[834] := (diff(y(x),x) = (x^4+3*x*y(x)^2+3*y(x)^2)/(6*y(x)^2+x)*y(x)/x/(x+1)):
ode[835] := (diff(y(x),x) = -1/(-(y(x)^3)^(2/3)*x-_F1(y(x)^3-3*ln(x))*(y(x)^3)^(1/3)*x)):
ode[836] := (diff(y(x),x) = y(x)*(x-y(x))*(y(x)+1)/x/(y(x)*x+x-y(x))):
ode[837] := (diff(y(x),x) = -1/(-ln(x)*(y(x)^3)^(2/3)-_F1(y(x)^3+3*Ei(1,-ln(x)))*ln(x)*(y(x)^3)^(1/3))):
ode[838] := (diff(y(x),x) = 1/25*(30*x^3+25*x^(1/2)+25*y(x)^2-20*y(x)*x^3-100*y(x)*x^(1/2)+4*x^6+40*x^(7/2)+100*x)/x):
ode[839] := (diff(y(x),x) = (exp(-1/x*y(x))*y(x)+exp(-1/x*y(x))*x+x^2)*exp(1/x*y(x))/x):
ode[840] := (diff(y(x),x) = (exp(-1/x*y(x))*y(x)+exp(-1/x*y(x))*x+x^3)*exp(1/x*y(x))/x):
ode[841] := (diff(y(x),x) = (b*x^3+c^2*a^(1/2)-2*c*b*x^2*a^(1/2)+2*c*y(x)^2*a^(3/2)+b^2*x^4*a^(1/2)-2*y(x)^2*a^(3/2)*b*x^2+a^(5/2)*y(x)^4)/a/x^2/y(x)):
ode[842] := (diff(y(x),x) = (y(x)+x^2*ln(x)^3+2*x^2*ln(x)^2*y(x)+x^2*ln(x)*y(x)^2)/x/ln(x)):
ode[843] := (diff(y(x),x) = (y(x)+x^3*ln(x)^3+2*x^3*ln(x)^2*y(x)+x^3*ln(x)*y(x)^2)/x/ln(x)):
ode[844] := (diff(y(x),x) = y(x)*(y(x)+x)*(y(x)+1)/x/(y(x)*x+x+y(x))):
ode[845] := (diff(y(x),x) = (3*x^3+(-9*x^4+4*y(x)^3)^(1/2)+x^2*(-9*x^4+4*y(x)^3)^(1/2)+x^3*(-9*x^4+4*y(x)^3)^(1/2))/y(x)^2):
ode[846] := (diff(y(x),x) = 1/(-x+(1/y(x)+1)*x+_F1((1/y(x)+1)*x)*x^2-_F1((1/y(x)+1)*x)*x^2*(1/y(x)+1))):
ode[847] := (diff(y(x),x) = 1/2*x+1/2+(x^2+2*x+1-4*y(x))^(1/2)+x^2*(x^2+2*x+1-4*y(x))^(1/2)+x^3*(x^2+2*x+1-4*y(x))^(1/2)):
ode[848] := (diff(y(x),x) = 1/sinh(x)*cosh(x)+_F1(y(x)-ln(sinh(x)))):
ode[849] := (diff(y(x),x) = -1/2*x+1+(x^2-4*x+4*y(x))^(1/2)+x^2*(x^2-4*x+4*y(x))^(1/2)+x^3*(x^2-4*x+4*y(x))^(1/2)):
ode[850] := (diff(y(x),x) = 1/sin(x)+_F1(y(x)-ln(sin(x))+ln(cos(x)+1))):
ode[851] := (diff(y(x),x) = (b^3+y(x)^2*b^3+2*y(x)*b^2*a*x+x^2*b*a^2+y(x)^3*b^3+3*y(x)^2*b^2*a*x+3*y(x)*b*a^2*x^2+a^3*x^3)/b^3):
ode[852] := (diff(y(x),x) = (alpha^3+y(x)^2*alpha^3+2*y(x)*alpha^2*beta*x+alpha*beta^2*x^2+y(x)^3*alpha^3+3*y(x)^2*alpha^2*beta*x+3*y(x)*alpha*beta^2*x^2+beta^3*x^3)/alpha^3):
ode[853] := (diff(y(x),x) = 1/x^2*(14*y(x)*x+12+2*x+y(x)^3*x^3+6*y(x)^2*x^2)/(y(x)*x+2+x)):
ode[854] := (diff(y(x),x) = y(x)*(ln(x)+ln(y(x))-1+x^2*ln(x)^2+2*x^2*ln(y(x))*ln(x)+x^2*ln(y(x))^2)/x):
ode[855] := (diff(y(x),x) = y(x)*(ln(y(x))-1+ln(x)+x^3*ln(x)^2+2*x^3*ln(y(x))*ln(x)+x^3*ln(y(x))^2)/x):
ode[856] := (diff(y(x),x) = -(-1/x-_F1(y(x)^2-2*x))/(y(x)^2)^(1/2)*x):
ode[857] := (diff(y(x),x) = -1/4*x+1/4+(x^2-2*x+1+8*y(x))^(1/2)+x^2*(x^2-2*x+1+8*y(x))^(1/2)+x^3*(x^2-2*x+1+8*y(x))^(1/2)):
ode[858] := (diff(y(x),x) = (a^3+y(x)^2*a^3+2*y(x)*a^2*b*x+a*b^2*x^2+y(x)^3*a^3+3*y(x)^2*a^2*b*x+3*y(x)*a*b^2*x^2+b^3*x^3)/a^3):
ode[859] := (diff(y(x),x) = -(-x-_F1(y(x)^2-2*x))/(y(x)^2)^(1/2)/x):
ode[860] := (diff(y(x),x) = 1/2*(-sin(2*y(x))+x*cos(2*y(x))+cos(2*y(x))*x^3+cos(2*y(x))*x^4+x+x^3+x^4)/x):
ode[861] := (diff(y(x),x) = -(-1/x*y(x)/exp(-1/x)-_F1(y(x)/exp(-1/x)))*exp(-1/x)/x):
ode[862] := (diff(y(x),x) = -(1/x*Ei(1,-ln(y(x)-1))-_F1(x))*ln(y(x)-1)):
ode[863] := (diff(y(x),x) = (y(x)+x*(y(x)^2+x^2)^(1/2)+x^3*(y(x)^2+x^2)^(1/2)+x^4*(y(x)^2+x^2)^(1/2))/x):
ode[864] := (diff(y(x),x) = y(x)*(exp(-1/4*x^2)^2*x*y(x)+exp(-1/4*x^2)*x+2*y(x)^2*exp(-3/4*x^2))*exp(1/4*x^2)/(2*y(x)*exp(-1/4*x^2)+2)):
ode[865] := (diff(y(x),x) = (1/(1-y(x))/ln(x)/x*ln(y(x)-1)*y(x)-1/(1-y(x))/ln(x)/x*ln(y(x)-1)-f(x))*(1-y(x))):
ode[866] := (diff(y(x),x) = -1/2*x-1/2*a+(x^2+2*a*x+a^2+4*y(x))^(1/2)+x^2*(x^2+2*a*x+a^2+4*y(x))^(1/2)+x^3*(x^2+2*a*x+a^2+4*y(x))^(1/2)):
ode[867] := (diff(y(x),x) = -2/3*x+1+y(x)^2+2/3*y(x)*x^2+1/9*x^4+y(x)^3+y(x)^2*x^2+1/3*y(x)*x^4+1/27*x^6):
ode[868] := (diff(y(x),x) = 2*x+1+y(x)^2-2*y(x)*x^2+x^4+y(x)^3-3*y(x)^2*x^2+3*y(x)*x^4-x^6):
ode[869] := (diff(y(x),x) = 1/(x^2-y(x))*(-x+1-2*y(x)+3*x^2-2*y(x)*x^2+2*x^4+x^3-2*y(x)*x^3+2*x^5)):
ode[870] := (diff(y(x),x) = (exp(-1/x*y(x))*y(x)+exp(-1/x*y(x))*x+x+x^3+x^4)*exp(1/x*y(x))/x):
ode[871] := (diff(y(x),x) = 1/(2*x+1)*(2*x*y(x)^2+4*y(x)*ln(2*x+1)*x+2*ln(2*x+1)^2*x+y(x)^2-2+ln(2*x+1)^2+2*y(x)*ln(2*x+1))):
ode[872] := (diff(y(x),x) = 1/5*(-30*y(x)*x^3+12*x^6+70*x^(7/2)-30*x^3-25*y(x)*x^(1/2)+50*x-25*x^(1/2)-25)/(-5*y(x)+2*x^3+10*x^(1/2)-5)/x):
ode[873] := (diff(y(x),x) = 1/x*(1+2*y(x))/(-2+x+x*y(x)^2+3*y(x)^3*x+2*y(x)*x+2*x*y(x)^4)):
ode[874] := (diff(y(x),x) = 1/512*(-256*a*x^2+512+512*y(x)^2+128*y(x)*a*x^4+8*a^2*x^8+512*y(x)^3+192*x^4*a*y(x)^2+24*y(x)*a^2*x^8+a^3*x^12)*x):
ode[875] := (diff(y(x),x) = -(-y(x)*x-y(x)+x^5*(y(x)^2+x^2)^(1/2)-x^4*(y(x)^2+x^2)^(1/2)*y(x))/x/(x+1)):
ode[876] := (diff(y(x),x) = -1/2*y(x)^2*(y(x)*x^2-2*x-2*y(x)*x+y(x))/(-2+y(x)*x-2*y(x))/x):
ode[877] := (diff(y(x),x) = (-2*y(x)*x+2*x^3-2*x-y(x)^3+3*y(x)^2*x^2-3*y(x)*x^4+x^6)/(-y(x)+x^2-1)):
ode[878] := (diff(y(x),x) = (1+y(x)^4-8*x*a*y(x)^2+16*a^2*x^2+y(x)^6-12*y(x)^4*a*x+48*y(x)^2*a^2*x^2-64*a^3*x^3)/y(x)):
ode[879] := (diff(y(x),x) = -(-y(x)*x-y(x)+(y(x)^2+x^2)^(1/2)*x^2-x*(y(x)^2+x^2)^(1/2)*y(x))/x/(x+1)):
ode[880] := (diff(y(x),x) = -2*a/(-y(x)-2*a-2*a*y(x)^4+16*a^2*x*y(x)^2-32*a^3*x^2-2*a*y(x)^6+24*y(x)^4*a^2*x-96*y(x)^2*a^3*x^2+128*a^4*x^3)):
ode[881] := (diff(y(x),x) = (-18*y(x)*x-6*x^3-18*x+27*y(x)^3+27*y(x)^2*x^2+9*y(x)*x^4+x^6)/(27*y(x)+9*x^2+27)):
ode[882] := (diff(y(x),x) = -1/216*(-108*x^(3/2)-216-216*y(x)^2+72*y(x)*x^3-6*x^6-216*y(x)^3+108*x^3*y(x)^2-18*y(x)*x^6+x^9)*x^(1/2)):
ode[883] := (diff(y(x),x) = (a^3+y(x)^4*a^3+2*y(x)^2*a^2*b*x^2+a*x^4*b^2+y(x)^6*a^3+3*y(x)^4*a^2*b*x^2+3*y(x)^2*a*b^2*x^4+b^3*x^6)*x/a^(7/2)/y(x)):
ode[884] := (diff(y(x),x) = -(-1-y(x)^4+2*y(x)^2*x^2-x^4-y(x)^6+3*y(x)^4*x^2-3*y(x)^2*x^4+x^6)*x/y(x)):
ode[885] := (diff(y(x),x) = -1/128*I*(32*I*x+64+64*y(x)^4+32*y(x)^2*x^2+4*x^4+64*y(x)^6+48*y(x)^4*x^2+12*y(x)^2*x^4+x^6)/y(x)):
ode[886] := (diff(y(x),x) = 1/x^4*(2*x^2-4*y(x)*x^3+1+y(x)^2*x^4+y(x)^3*x^6-3*y(x)^2*x^5+3*y(x)*x^4-x^3)):
ode[887] := (diff(y(x),x) = 1/a^2/x^2*(y(x)*a^2*x+a+a^2*x+y(x)^3*a^3*x^3+3*y(x)^2*a^2*x^2+3*y(x)*a*x+1)/(y(x)*a*x+1+a*x)):
ode[888] := (diff(y(x),x) = 1/x^2*(6*y(x)*x^2-2*x+1-5*x^3*y(x)^2-2*y(x)*x+y(x)^3*x^4)/(y(x)*x^2-x+1)):
ode[889] := (diff(y(x),x) = -1/8*(-8-8*y(x)^3+24*y(x)^(3/2)*exp(x)-18*exp(x)^2-8*y(x)^(9/2)+36*y(x)^3*exp(x)-54*y(x)^(3/2)*exp(x)^2+27*exp(x)^3)*exp(x)/y(x)^(1/2)):
ode[890] := (diff(y(x),x) = x/(-y(x)+1+y(x)^4+2*y(x)^2*x^2+x^4+y(x)^6+3*y(x)^4*x^2+3*y(x)^2*x^4+x^6)):
ode[891] := (diff(y(x),x) = y(x)^2/x^3*(-2*y(x)+2*x^2+2*y(x)*x^2+y(x)*x^4)/(x^2-y(x)+y(x)*x^2)):
ode[892] := (diff(y(x),x) = (y(x)^2+2*y(x)*x+x^2+exp(-2/(-y(x)^2+x^2-1)))/(y(x)^2+2*y(x)*x+x^2-exp(-2/(-y(x)^2+x^2-1)))):
ode[893] := (diff(y(x),x) = (6*x+x^3+x^3*y(x)^2+4*y(x)*x^2+y(x)^3*x^3+6*y(x)^2*x^2+12*y(x)*x+8)/x^3):
ode[894] := (diff(y(x),x) = -I*(I*x+1+x^4+2*y(x)^2*x^2+y(x)^4+x^6+3*y(x)^2*x^4+3*y(x)^4*x^2+y(x)^6)/y(x)):
ode[895] := (diff(y(x),x) = (-256*a*x^2*y(x)-32*a^2*x^6-256*a*x^2+512*y(x)^3+192*x^4*a*y(x)^2+24*y(x)*a^2*x^8+a^3*x^12)*x/(512*y(x)+64*a*x^4+512)):
ode[896] := (diff(y(x),x) = (x+1+y(x)^4-2*y(x)^2*x^2+x^4+y(x)^6-3*y(x)^4*x^2+3*y(x)^2*x^4-x^6)/y(x)):
ode[897] := (diff(y(x),x) = (-108*x^(3/2)*y(x)+18*x^(9/2)-108*x^(3/2)-216*y(x)^3+108*x^3*y(x)^2-18*y(x)*x^6+x^9)*x^(1/2)/(-216*y(x)+36*x^3-216)):
ode[898] := (diff(y(x),x) = 1/16/x^6*(32*x^5*y(x)+8*x^3+32*x^5+64*y(x)^3*x^6+48*y(x)^2*x^4+12*y(x)*x^2+1)/(4*y(x)*x^2+1+4*x^2)):
ode[899] := (diff(y(x),x) = 1/64*(32*x^5+64*x^6+64*y(x)^2*x^6+32*y(x)*x^4+4*x^2+64*y(x)^3*x^6+48*y(x)^2*x^4+12*y(x)*x^2+1)/x^8):
ode[900] := (diff(y(x),x) = 2*a*(-y(x)^2+4*a*x-1)/(-y(x)^3+4*y(x)*a*x-y(x)-2*a*y(x)^6+24*y(x)^4*a^2*x-96*y(x)^2*a^3*x^2+128*a^4*x^3)):
ode[901] := (diff(y(x),x) = (y(x)-a*ln(y(x))*x+x^2)/(-y(x)*ln(y(x))-y(x)*ln(x)-y(x)+a*x)*y(x)/x):
ode[902] := (diff(y(x),x) = (-x*y(x)^2+x^3-x-y(x)^6+3*y(x)^4*x^2-3*y(x)^2*x^4+x^6)/(-y(x)^2+x^2-1)/y(x)):
ode[903] := (diff(y(x),x) = 1/2*sin(1/x*y(x))*(y(x)+2*x^2*sin(1/2/x*y(x))*cos(1/2/x*y(x)))/sin(1/2/x*y(x))/x/cos(1/2/x*y(x))):
ode[904] := (diff(y(x),x) = 1/2*sin(1/x*y(x))*(y(x)+2*x^3*cos(1/2/x*y(x))*sin(1/2/x*y(x)))/sin(1/2/x*y(x))/x/cos(1/2/x*y(x))):
ode[905] := (diff(y(x),x) = (a^2*x+a^3*x^3+a^3*x^3*y(x)^2+2*a^2*x^2*y(x)+a*x+y(x)^3*a^3*x^3+3*y(x)^2*a^2*x^2+3*y(x)*a*x+1)/a^3/x^3):
ode[906] := (diff(y(x),x) = x*(y(x)^2+x^2+1)/(-y(x)^3-y(x)*x^2-y(x)+y(x)^6+3*y(x)^4*x^2+3*y(x)^2*x^4+x^6)):
ode[907] := (diff(y(x),x) = 1/2*(-2*cos(x)*x+2*sin(x)*x^2+2*x+2*y(x)^2+4*y(x)*cos(x)*x-4*y(x)*x+x^2*cos(2*x)+3*x^2-4*x^2*cos(x))/x):
ode[908] := (diff(y(x),x) = 4*x*(a-1)*(a+1)/(4*y(x)+a^2*y(x)^4-2*a^4*y(x)^2*x^2+4*y(x)^2*a^2*x^2+a^6*x^4-3*a^4*x^4+3*a^2*x^4-y(x)^4-2*y(x)^2*x^2-x^4)):
ode[909] := (diff(y(x),x) = (x^3+y(x)^4*x^3+2*y(x)^2*x^2+x+x^3*y(x)^6+3*y(x)^4*x^2+3*x*y(x)^2+1)/x^5/y(x)):
ode[910] := (diff(y(x),x) = (-2*x-y(x)+1+y(x)^2*x^2+2*y(x)*x^3+x^4+y(x)^3*x^3+3*y(x)^2*x^4+3*x^5*y(x)+x^6)/x):
ode[911] := (diff(y(x),x) = -(-1/x*ln(y(x))+1/sin(x)*cos(x)*ln(y(x))-_F1(x))*y(x)):
ode[912] := (diff(y(x),x) = 2*a*x/(-y(x)*x^3+2*a*x^3+2*a*y(x)^4*x^3-16*y(x)^2*a^2*x^2+32*a^3*x+2*a*y(x)^6*x^3-24*y(x)^4*a^2*x^2+96*y(x)^2*x*a^3-128*a^4)):
ode[913] := (diff(y(x),x) = -(-y(x)^3-y(x)+2*ln(x)*y(x)^2-ln(x)^2*y(x)^3-1+3*y(x)*ln(x)-3*ln(x)^2*y(x)^2+ln(x)^3*y(x)^3)/y(x)/x):
ode[914] := (diff(y(x),x) = 2*a*(x*y(x)^2-4*a+x)/(-y(x)^3*x^3+4*a*x^2*y(x)-y(x)*x^3+2*a*y(x)^6*x^3-24*y(x)^4*a^2*x^2+96*y(x)^2*x*a^3-128*a^4)):
ode[915] := (diff(y(x),x) = -(-y(x)^3-y(x)+4*ln(x)*y(x)^2-4*ln(x)^2*y(x)^3-1+6*y(x)*ln(x)-12*ln(x)^2*y(x)^2+8*ln(x)^3*y(x)^3)/y(x)/x):
ode[916] := (diff(y(x),x) = y(x)*(ln(y(x))*x+ln(y(x))-x-1+x*ln(x)+ln(x)+x^4*ln(x)^2+2*x^4*ln(y(x))*ln(x)+x^4*ln(y(x))^2)/x/(x+1)):
ode[917] := (diff(y(x),x) = y(x)*(x*ln(x)+ln(x)+ln(y(x))*x+ln(y(x))-x-1+x*ln(x)^2+2*x*ln(y(x))*ln(x)+x*ln(y(x))^2)/x/(x+1)):
ode[918] := (diff(y(x),x) = 2*y(x)^8/(y(x)^5+2*y(x)^6+2*y(x)^2+16*x*y(x)^4+32*y(x)^6*x^2+2+24*x*y(x)^2+96*y(x)^4*x^2+128*x^3*y(x)^6)):
ode[919] := (diff(y(x),x) = y(x)^(3/2)*(x-y(x)+y(x)^(1/2))/(y(x)^(3/2)*x-y(x)^(5/2)+y(x)^2+x^3-3*y(x)*x^2+3*x*y(x)^2-y(x)^3)):
ode[920] := (diff(y(x),x) = 2*y(x)^6*(1+4*x*y(x)^2+y(x)^2)/(y(x)^3+4*y(x)^5*x+y(x)^5+2+24*x*y(x)^2+96*y(x)^4*x^2+128*x^3*y(x)^6)):
ode[921] := (diff(y(x),x) = -(-1/x*ln(y(x))+1/x/ln(x)*ln(y(x))-_F1(x))*y(x)):
ode[922] := (diff(y(x),x) = y(x)^2/(y(x)^2+y(x)^(3/2)+y(x)^(1/2)*x^2-2*y(x)^(3/2)*x+y(x)^(5/2)+x^3-3*y(x)*x^2+3*x*y(x)^2-y(x)^3)):
ode[923] := (diff(y(x),x) = (y(x)^2+2*y(x)*x+x^2+exp(-2*(x-y(x))*(y(x)+x)))/(y(x)^2+2*y(x)*x+x^2-exp(-2*(x-y(x))*(y(x)+x)))):
ode[924] := (diff(y(x),x) = -(-1/2*ln(y(x))^2/x-_F1(x))/ln(y(x))*y(x)):
ode[925] := (diff(y(x),x) = (y(x)^2+2*y(x)*x+x^2+exp(2*(x-y(x))^2*(y(x)+x)^2))/(y(x)^2+2*y(x)*x+x^2-exp(2*(x-y(x))^2*(y(x)+x)^2))):
ode[926] := (diff(y(x),x) = 1/16*(-8*y(x)^3*x^2+16*x*y(x)^2+16*y(x)^3*x-8+12*y(x)*x-6*y(x)^2*x^2+y(x)^3*x^3)/(-2+y(x)*x-2*y(x))/x):
ode[927] := (diff(y(x),x) = -1/8*(-8*exp(-x^2)+8*x^2*exp(-x^2)-8-8*y(x)^2+8*x^2*exp(-x^2)*y(x)-2*x^4*exp(-x^2)^2-8*y(x)^3+12*x^2*exp(-x^2)*y(x)^2-6*y(x)*x^4*exp(-x^2)^2+x^6*exp(-x^2)^3)*x):
ode[928] := (diff(y(x),x) = (exp(-1/x*y(x))*y(x)*x+exp(-1/x*y(x))*y(x)+exp(-1/x*y(x))*x^2+exp(-1/x*y(x))*x+x)*exp(1/x*y(x))/x/(x+1)):
ode[929] := (diff(y(x),x) = -1/32/y(x)*(16*y(x)^3*x-8*y(x)^3-8*y(x)+8*x*y(x)^2-2*y(x)^3*x^2-8+12*y(x)*x-6*y(x)^2*x^2+y(x)^3*x^3)/x):
ode[930] := (diff(y(x),x) = (exp(-1/x*y(x))*y(x)*x+exp(-1/x*y(x))*y(x)+exp(-1/x*y(x))*x^2+exp(-1/x*y(x))*x+x^4)*exp(1/x*y(x))/x/(x+1)):
ode[931] := (diff(y(x),x) = (-3*y(x)*x^2-2*x^3-2*x-x*y(x)^2-y(x)+y(x)^3*x^3+3*y(x)^2*x^4+3*x^5*y(x)+x^6)/x/(y(x)*x+x^2+1)):
ode[932] := (diff(y(x),x) = 1/243*(27*y(x)^3+27*exp(3*x^2)*y(x)+18*exp(3*x^2)*y(x)^2+3*y(x)^3*exp(3*x^2)+27*exp(9/2*x^2)+27*exp(9/2*x^2)*y(x)+9*exp(9/2*x^2)*y(x)^2+exp(9/2*x^2)*y(x)^3)*exp(3*x^2)*x/y(x)/exp(9/2*x^2)):
ode[933] := (diff(y(x),x) = -(-x^2-y(x)*x-x^3-x*y(x)^2+2*y(x)*x^2*ln(x)-x^3*ln(x)^2-y(x)^3+3*x*ln(x)*y(x)^2-3*x^2*ln(x)^2*y(x)+x^3*ln(x)^3)/x^2):
ode[934] := (diff(y(x),x) = 1/2*x+1+y(x)^2+1/4*y(x)*x^2-y(x)*x-1/8*x^4+1/8*x^3+1/4*x^2+y(x)^3-3/4*y(x)^2*x^2-3/2*x*y(x)^2+3/16*y(x)*x^4+3/4*y(x)*x^3-1/64*x^6-3/32*x^5):
ode[935] := (diff(y(x),x) = -1/2*x+1+y(x)^2+7/2*y(x)*x^2-2*y(x)*x+13/16*x^4-3/2*x^3+x^2+y(x)^3+3/4*y(x)^2*x^2-3*x*y(x)^2+3/16*y(x)*x^4-3/2*y(x)*x^3+1/64*x^6-3/16*x^5):
ode[936] := (diff(y(x),x) = -1/4*x+1+y(x)^2+7/16*y(x)*x^2-1/2*y(x)*x+5/128*x^4-5/64*x^3+1/16*x^2+y(x)^3+3/8*y(x)^2*x^2-3/4*x*y(x)^2+3/64*y(x)*x^4-3/16*y(x)*x^3+1/512*x^6-3/256*x^5):
ode[937] := (diff(y(x),x) = 1/(2*x+1)*(-2*y(x)-2*ln(2*x+1)-2+2*y(x)^3*x+y(x)^3+6*y(x)^2*ln(2*x+1)*x+3*y(x)^2*ln(2*x+1)+6*y(x)*ln(2*x+1)^2*x+3*y(x)*ln(2*x+1)^2+2*ln(2*x+1)^3*x+ln(2*x+1)^3)/(y(x)+ln(2*x+1)+1)):
ode[938] := (diff(y(x),x) = (-x^2+x+1+y(x)^2+5*y(x)*x^2-2*y(x)*x+4*x^4-3*x^3+y(x)^3+3*y(x)^2*x^2-3*x*y(x)^2+3*y(x)*x^4-6*y(x)*x^3+x^6-3*x^5)/x):
ode[939] := (diff(y(x),x) = (-32*y(x)*x+16*x^3+16*x^2-32*x-64*y(x)^3+48*y(x)^2*x^2+96*x*y(x)^2-12*y(x)*x^4-48*y(x)*x^3-48*y(x)*x^2+x^6+6*x^5+12*x^4)/(-64*y(x)+16*x^2+32*x-64)):
ode[940] := (diff(y(x),x) = 1/x*(x*ln(x)*y(x)+x^2*ln(x)-2*y(x)*x-x^2-y(x)^2-y(x)^3+3*x*ln(x)*y(x)^2-3*x^2*ln(x)^2*y(x)+x^3*ln(x)^3)/(-y(x)+x*ln(x)-x)):
ode[941] := (diff(y(x),x) = (-32*y(x)*x-72*x^3+32*x^2-32*x+64*y(x)^3+48*y(x)^2*x^2-192*x*y(x)^2+12*y(x)*x^4-96*y(x)*x^3+192*y(x)*x^2+x^6-12*x^5+48*x^4)/(64*y(x)+16*x^2-64*x+64)):
ode[942] := (diff(y(x),x) = -(y(x)^2+2*y(x)*x+x^2+exp(2*(x-y(x))^3*(y(x)+x)^3/(-y(x)^2+x^2-1)))/(-y(x)^2-2*y(x)*x-x^2+exp(2*(x-y(x))^3*(y(x)+x)^3/(-y(x)^2+x^2-1)))):
ode[943] := (diff(y(x),x) = (-128*y(x)*x-24*x^3+32*x^2-128*x+512*y(x)^3+192*y(x)^2*x^2-384*x*y(x)^2+24*y(x)*x^4-96*y(x)*x^3+96*y(x)*x^2+x^6-6*x^5+12*x^4)/(512*y(x)+64*x^2-128*x+512)):
ode[944] := (diff(y(x),x) = (-32*y(x)*a*x-8*a^2*x^3-16*a*x^2*b-32*a*x+64*y(x)^3+48*y(x)^2*a*x^2+96*y(x)^2*b*x+12*y(x)*a^2*x^4+48*y(x)*a*x^3*b+48*y(x)*b^2*x^2+a^3*x^6+6*a^2*x^5*b+12*a*x^4*b^2+8*b^3*x^3)/(64*y(x)+16*a*x^2+32*b*x+64)):
ode[945] := (diff(y(x),x) = (-32*y(x)*x-8*x^3-16*a*x^2-32*x+64*y(x)^3+48*y(x)^2*x^2+96*x*a*y(x)^2+12*y(x)*x^4+48*y(x)*a*x^3+48*a^2*x^2*y(x)+x^6+6*x^5*a+12*a^2*x^4+8*a^3*x^3)/(64*y(x)+16*x^2+32*a*x+64)):
ode[946] := (diff(y(x),x) = (-8*exp(-x^2)*y(x)+4*x^2*exp(-x^2)^2-8*exp(-x^2)+8*x^2*exp(-x^2)*y(x)-4*x^4*exp(-x^2)^2+8*x^2*exp(-x^2)-8*y(x)^3+12*x^2*exp(-x^2)*y(x)^2-6*y(x)*x^4*exp(-x^2)^2+x^6*exp(-x^2)^3)*x/(-8*y(x)+4*x^2*exp(-x^2)-8)):
ode[947] := (diff(y(x),x) = 1/2*(2*x^2*cos(x)+2*sin(x)*x^3-2*sin(x)*x+2*x+2*y(x)^2*x^2-4*y(x)*sin(x)*x+4*y(x)*cos(x)*x^2+4*y(x)*x+3-cos(2*x)-2*sin(2*x)*x-4*sin(x)+x^2*cos(2*x)+x^2+4*cos(x)*x)/x^3):
ode[948] := (diff(y(x),x) = -216*y(x)/(-216*y(x)^4-252*y(x)^3-396*y(x)^2-216*y(x)+36*x^2-72*y(x)*x+60*y(x)^5-36*y(x)^3*x-72*x*y(x)^2-24*x*y(x)^4+4*y(x)^8+12*y(x)^7+33*y(x)^6)):
ode[949] := (diff(y(x),x) = (y(x)*x^2+x^4+2*x^3-3*x^2+y(x)*x+x+y(x)^3+3*y(x)^2*x^2-3*x*y(x)^2+3*y(x)*x^4-6*y(x)*x^3+x^6-3*x^5)/x/(y(x)+x^2-x+1)):
ode[950] := (diff(y(x),x) = -1/2*a*x+1+y(x)^2+1/2*a*x^2*y(x)+y(x)*b*x+1/16*a^2*x^4+1/4*a*x^3*b+1/4*b^2*x^2+y(x)^3+3/4*y(x)^2*a*x^2+3/2*y(x)^2*b*x+3/16*y(x)*a^2*x^4+3/4*y(x)*a*x^3*b+3/4*y(x)*b^2*x^2+1/64*a^3*x^6+3/32*a^2*x^5*b+3/16*a*x^4*b^2+1/8*b^3*x^3):
ode[951] := (diff(y(x),x) = -1/2*x+1+y(x)^2+1/2*y(x)*x^2+y(x)*a*x+1/16*x^4+1/4*a*x^3+1/4*a^2*x^2+y(x)^3+3/4*y(x)^2*x^2+3/2*x*a*y(x)^2+3/16*y(x)*x^4+3/4*y(x)*a*x^3+3/4*a^2*x^2*y(x)+1/64*x^6+3/32*x^5*a+3/16*a^2*x^4+1/8*a^3*x^3):
ode[952] := (diff(y(x),x) = -(-y(x)+(y(x)^2+x^2)^(1/2)*x^2-x*(y(x)^2+x^2)^(1/2)*y(x)+x^4*(y(x)^2+x^2)^(1/2)-x^3*(y(x)^2+x^2)^(1/2)*y(x)+x^5*(y(x)^2+x^2)^(1/2)-x^4*(y(x)^2+x^2)^(1/2)*y(x))/x):
ode[953] := (diff(y(x),x) = y(x)*(ln(x)+ln(y(x))-1+x*ln(x)^2+2*x*ln(y(x))*ln(x)+x*ln(y(x))^2+x^3*ln(x)^2+2*x^3*ln(y(x))*ln(x)+x^3*ln(y(x))^2+x^4*ln(x)^2+2*x^4*ln(y(x))*ln(x)+x^4*ln(y(x))^2)/x):
ode[954] := (diff(y(x),x) = 1/125*(150*x^3+125*x^(1/2)+125+125*y(x)^2-100*y(x)*x^3-500*y(x)*x^(1/2)+20*x^6+200*x^(7/2)+500*x+125*y(x)^3-150*x^3*y(x)^2-750*y(x)^2*x^(1/2)+60*y(x)*x^6+600*y(x)*x^(7/2)+1500*y(x)*x-8*x^9-120*x^(13/2)-600*x^4-1000*x^(3/2))/x):
ode[955] := (diff(y(x),x) = 1/25*(-150*y(x)*x^3+60*x^6+350*x^(7/2)-150*x^3-125*y(x)*x^(1/2)+250*x-125*x^(1/2)-125*y(x)^3+150*x^3*y(x)^2+750*y(x)^2*x^(1/2)-60*y(x)*x^6-600*y(x)*x^(7/2)-1500*y(x)*x+8*x^9+120*x^(13/2)+600*x^4+1000*x^(3/2))/(-5*y(x)+2*x^3+10*x^(1/2)-5)/x):
ode[956] := (diff(y(x),x) = 1/(1+ln(x))*y(x)*(-1-x^(2/(1+ln(x)))*exp(2/(1+ln(x))*ln(x)^2)*x^2-x^(2/(1+ln(x)))*exp(2/(1+ln(x))*ln(x)^2)*x^2*ln(x)+x^(2/(1+ln(x)))*exp(2/(1+ln(x))*ln(x)^2)*x^2*y(x)+2*x^(2/(1+ln(x)))*exp(2/(1+ln(x))*ln(x)^2)*x^2*y(x)*ln(x)+x^(2/(1+ln(x)))*exp(2/(1+ln(x))*ln(x)^2)*x^2*y(x)*ln(x)^2)/x):
ode[957] := (diff(y(x),x) = 1/(1+ln(x))*y(x)*(-1-x^3*x^(2/(1+ln(x)))*exp(2/(1+ln(x))*ln(x)^2)-x^3*x^(2/(1+ln(x)))*exp(2/(1+ln(x))*ln(x)^2)*ln(x)+x^3*x^(2/(1+ln(x)))*exp(2/(1+ln(x))*ln(x)^2)*y(x)+2*x^3*x^(2/(1+ln(x)))*exp(2/(1+ln(x))*ln(x)^2)*y(x)*ln(x)+x^3*x^(2/(1+ln(x)))*exp(2/(1+ln(x))*ln(x)^2)*y(x)*ln(x)^2)/x):
ode[958] := (diff(y(x),x) = 1/(2*x+1)*(2*x+4*y(x)*ln(2*x+1)*x+6*y(x)^2*ln(2*x+1)*x+6*y(x)*ln(2*x+1)^2*x+2*ln(2*x+1)^3*x+2*y(x)^3*x+2*ln(2*x+1)^2*x+2*x*y(x)^2-1+3*y(x)^2*ln(2*x+1)+3*y(x)*ln(2*x+1)^2+y(x)^2+y(x)^3+2*y(x)*ln(2*x+1)+ln(2*x+1)^2+ln(2*x+1)^3)):
ode[959] := (diff(y(x),x) = 1/2*(-sin(1/x*y(x))*y(x)+y(x)*sin(3/2/x*y(x))*cos(1/2/x*y(x))+y(x)*cos(1/2/x*y(x))*sin(1/2/x*y(x))+2*sin(1/x*y(x))*x^3*cos(1/2/x*y(x))*sin(1/2/x*y(x)))/cos(1/x*y(x))/cos(1/2/x*y(x))/sin(1/2/x*y(x))/x):
ode[960] := (diff(y(x),x) = 1/2*(-sin(1/x*y(x))*y(x)+y(x)*sin(3/2/x*y(x))*cos(1/2/x*y(x))+y(x)*cos(1/2/x*y(x))*sin(1/2/x*y(x))+2*sin(1/x*y(x))*x^2*sin(1/2/x*y(x))*cos(1/2/x*y(x)))/cos(1/x*y(x))/cos(1/2/x*y(x))/sin(1/2/x*y(x))/x):
ode[961] := (diff(y(x),x) = (y(x)^2+2*y(x)*x+x^2+exp(2+2*y(x)^4-4*y(x)^2*x^2+2*x^4+2*y(x)^6-6*y(x)^4*x^2+6*y(x)^2*x^4-2*x^6))/(y(x)^2+2*y(x)*x+x^2-exp(2+2*y(x)^4-4*y(x)^2*x^2+2*x^4+2*y(x)^6-6*y(x)^4*x^2+6*y(x)^2*x^4-2*x^6))):
ode[962] := (diff(y(x),x) = 4*x*(a-1)*(a+1)*(-y(x)^2+a^2*x^2-x^2-2)/(-4*y(x)^3+4*a^2*x^2*y(x)-4*y(x)*x^2-8*y(x)-a^2*y(x)^6+3*a^4*y(x)^4*x^2-6*y(x)^4*a^2*x^2-3*a^6*y(x)^2*x^4+9*y(x)^2*a^4*x^4-9*y(x)^2*a^2*x^4+a^8*x^6-4*a^6*x^6+6*a^4*x^6-4*a^2*x^6+y(x)^6+3*y(x)^4*x^2+3*y(x)^2*x^4+x^6)):
ode[963] := (diff(y(x),x) = 1/4*(-4*cos(x)*x+4*sin(x)*x^2+4*x+4+4*y(x)^2+8*y(x)*cos(x)*x-8*y(x)*x+2*x^2*cos(2*x)+6*x^2-8*x^2*cos(x)+4*y(x)^3+12*y(x)^2*cos(x)*x-12*x*y(x)^2+6*y(x)*x^2*cos(2*x)+18*y(x)*x^2-24*y(x)*cos(x)*x^2+x^3*cos(3*x)+15*x^3*cos(x)-6*x^3*cos(2*x)-10*x^3)/x):
ode[964] := (diff(y(x),x) = -8*x*(a-1)*(a+1)/(8-8*y(x)-6*a^2*x^4-8*a^2+x^6+2*x^4+y(x)^6+a^8*x^6-2*a^6*x^4-4*a^6*x^6+6*a^4*x^6-4*a^2*x^6+6*a^4*x^4-a^2*y(x)^6-2*a^2*y(x)^4+4*y(x)^2*x^2+3*y(x)^4*x^2+3*y(x)^2*x^4+2*y(x)^4+9*y(x)^2*a^4*x^4-9*y(x)^2*a^2*x^4-6*y(x)^4*a^2*x^2+4*a^4*y(x)^2*x^2-3*a^6*y(x)^2*x^4+3*a^4*y(x)^4*x^2-8*y(x)^2*a^2*x^2)):
ode[965] := (diff(y(x),x) = 1/2*(-sin(1/x*y(x))*y(x)+y(x)*sin(3/2/x*y(x))*cos(1/2/x*y(x))+y(x)*cos(1/2/x*y(x))*sin(1/2/x*y(x))+2*sin(1/x*y(x))*cos(1/2/x*y(x))*sin(1/2/x*y(x))*x+2*sin(1/x*y(x))*x^3*cos(1/2/x*y(x))*sin(1/2/x*y(x))+2*sin(1/x*y(x))*x^4*cos(1/2/x*y(x))*sin(1/2/x*y(x)))/cos(1/x*y(x))/cos(1/2/x*y(x))/sin(1/2/x*y(x))/x):
ode[966] := (diff(y(x),x) = -1296*y(x)/(-1296*y(x)-2376*y(x)^2+216*x^2+216-432*y(x)*x+216*x^3-882*y(x)^6+1152*x*y(x)^4-1728*y(x)^3-648*y(x)*x^2-324*y(x)^3*x^2-648*y(x)^2*x^2+216*x*y(x)^2-216*y(x)^4*x^2+72*y(x)^8*x+216*y(x)^7*x+594*y(x)^6*x+1080*y(x)^5*x-612*y(x)^5-126*y(x)^10-315*y(x)^9-8*y(x)^12-36*y(x)^11-570*y(x)^8-846*y(x)^7-1944*y(x)^4+1080*y(x)^3*x)):
ode[967] := (diff(y(x),x) = -1/216*x/(x^2+1)^4*(-432*x-378*y(x)-540*y(x)^2-1134*x^2-456*x^6-864*x^4-756*x^3-216*y(x)^3*x^6-576*x^5-216*y(x)^3-594*y(x)*x^2-144*x^7+432*y(x)^2*x^7-648*y(x)^3*x^2+864*y(x)^2*x^5-288*y(x)*x^8-648*y(x)^3*x^4+288*y(x)*x^7-513-96*x^8+432*x^3*y(x)^2+720*y(x)*x^3-1296*y(x)^2*x^2-216*y(x)*x^4-972*y(x)^2*x^4+1008*x^5*y(x)+64*x^9-216*y(x)^2*x^6-288*y(x)*x^6)):
ode[968] := (diff(y(x),x) = 1/2*(-sin(1/x*y(x))*y(x)*x-sin(1/x*y(x))*y(x)+y(x)*sin(3/2/x*y(x))*cos(1/2/x*y(x))*x+y(x)*sin(3/2/x*y(x))*cos(1/2/x*y(x))+y(x)*cos(1/2/x*y(x))*sin(1/2/x*y(x))*x+y(x)*cos(1/2/x*y(x))*sin(1/2/x*y(x))+2*sin(1/x*y(x))*x^4*cos(1/2/x*y(x))*sin(1/2/x*y(x)))/cos(1/x*y(x))/cos(1/2/x*y(x))/sin(1/2/x*y(x))/x/(x+1)):
ode[969] := (diff(y(x),x) = 1/2*(y(x)*sin(3/2/x*y(x))*cos(1/2/x*y(x))*x+y(x)*sin(3/2/x*y(x))*cos(1/2/x*y(x))+y(x)*cos(1/2/x*y(x))*sin(1/2/x*y(x))*x+y(x)*cos(1/2/x*y(x))*sin(1/2/x*y(x))-sin(1/x*y(x))*y(x)*x-sin(1/x*y(x))*y(x)+2*sin(1/x*y(x))*cos(1/2/x*y(x))*sin(1/2/x*y(x))*x)/cos(1/x*y(x))/sin(1/2/x*y(x))/x/cos(1/2/x*y(x))/(x+1)):
ode[970] := (diff(y(x),x) = -216*y(x)*(-2*y(x)^4-3*y(x)^3-6*y(x)^2-6*y(x)+6*x+6)/(-1296*y(x)-1296*y(x)^2-1296*y(x)*x+216*x^3+2484*y(x)^6-432*x*y(x)^4+1728*y(x)^3-648*y(x)*x^2-324*y(x)^3*x^2-648*y(x)^2*x^2-1944*x*y(x)^2-216*y(x)^4*x^2+72*y(x)^8*x+216*y(x)^7*x+594*y(x)^6*x+1080*y(x)^5*x+4428*y(x)^5-126*y(x)^10-315*y(x)^9-8*y(x)^12-36*y(x)^11-18*y(x)^8+594*y(x)^7+2808*y(x)^4-648*y(x)^3*x)):
ode[971] := (diff(y(x),x) = (x*y(x)+1)^3/x^5):
ode[972] := (diff(y(x),x) = x*(-x^2+2*x^2*y(x)-2*x^4+1)/(y(x)-x^2)):
ode[973] := (diff(y(x),x) = y(x)*(y(x)^2+y(x)*exp(b*x)+exp(b*x)^2)/exp(b*x)^2):
ode[974] := (diff(y(x),x) = y(x)^3-3*y(x)^2*x^2+3*x^4*y(x)-x^6+2*x):
ode[975] := (diff(y(x),x) = y(x)^3+y(x)^2*x^2+1/3*x^4*y(x)+1/27*x^6-2/3*x):
ode[976] := (diff(y(x),x) = y(x)/x*(y(x)^2*x^7+x^4*y(x)+x-3)):
ode[977] := (diff(y(x),x) = y(x)*(y(x)^2+y(x)*exp(-x^2)+exp(-x^2)^2)/exp(-x^2)^2*x):
ode[978] := (diff(y(x),x) = y(x)/x^2*(y(x)^2+x*y(x)+x^2+x)):
ode[979] := (diff(y(x),x) = (y(x)^3-3*x*y(x)^2+3*x^2*y(x)-x^3+x)/x):
ode[980] := (diff(y(x),x) = (x^3*y(x)^3+6*y(x)^2*x^2+12*x*y(x)+8+2*x)/x^3):
ode[981] := (diff(y(x),x) = (y(x)^3*x^3*a^3+3*y(x)^2*x^2*a^2+3*y(x)*x*a+1+x*a^2)/x^3/a^3):
ode[982] := (diff(y(x),x) = 1/2*y(x)/exp(1/4*x^2)^2*(2*y(x)^2+2*y(x)*exp(1/4*x^2)+2*exp(1/4*x^2)^2+x*exp(1/4*x^2)^2)):
ode[983] := (diff(y(x),x) = (y(x)^3-3*x*y(x)^2+3*x^2*y(x)-x^3+x^2)/(x-1)/(x+1)):
ode[984] := (diff(y(x),x) = y(x)/x*(y(x)^2*x^2+y(x)*x*exp(x)+exp(x)^2)/exp(x)^2*(x-1)):
ode[985] := (diff(y(x),x) = (x*y(x)+1)*(y(x)^2*x^2+x^2*y(x)+2*x*y(x)+1+x+x^2)/x^5):
ode[986] := (diff(y(x),x) = (y(x)^3-3*y(x)^2*x*ln(x)+3*y(x)*ln(x)^2*x^2-x^3*ln(x)^3+x^2+x*y(x))/x^2):
ode[987] := (diff(y(x),x) = -F(x)*(-x^2*a+y(x)^2)+1/x*y(x)):
ode[988] := (diff(y(x),x) = -F(x)*(-x^2-2*x*y(x)+y(x)^2)+1/x*y(x)):
ode[989] := (diff(y(x),x) = -F(x)*(-a*y(x)^2-b*x^2)+1/x*y(x)):
ode[990] := (diff(y(x),x) = -F(x)*(-y(x)^2+2*x^2*y(x)+1-x^4)+2*x):
ode[991] := (diff(y(x),x) = -F(x)*(x^2+2*x*y(x)-y(x)^2)+1/x*y(x)):
ode[992] := (diff(y(x),x) = -F(x)*(-7*x*y(x)^2-x^3)+1/x*y(x)):
ode[993] := (diff(y(x),x) = -F(x)*(-y(x)^2-2*y(x)*ln(x)-ln(x)^2)+1/ln(x)/x*y(x)):
ode[994] := (diff(y(x),x) = -x^3*(-y(x)^2-2*y(x)*ln(x)-ln(x)^2)+1/ln(x)/x*y(x)):
ode[995] := (diff(y(x),x) = (y(x)-exp(x))^2+exp(x)):
ode[996] := (diff(y(x),x) = ((y(x)-Si(x))^2+sin(x))/x):
ode[997] := (diff(y(x),x) = (y(x)+cos(x))^2+sin(x)):
ode[998] := (diff(y(x),x) = ((y(x)-ln(x)-Ci(x))^2+cos(x))/x):
ode[999] := (diff(y(x),x) = ((y(x)-x+ln(x+1))^2+x)/(x+1)):
ode[1000] := (diff(y(x),x) = 1/x^2*(2*x^2*y(x)+x^3+x*y(x)*ln(x)-y(x)^2-x*y(x))/(x+ln(x))):
#second chapter
ode[1001] := diff(y(x),x$2): ode[1002] := diff(y(x),x$2)+y(x):
ode[1003] := diff(y(x),x$2)+y(x)-sin(n*x): ode[1004] := diff(y(x),x$2)+y(x)-a*cos(b*x):
ode[1005] := diff(y(x),x$2)+y(x)-sin(a*x)*sin(b*x): ode[1006] := diff(y(x),x$2)-y(x):
ode[1007] := diff(y(x),x$2)-2*y(x)-4*x^2*exp(x^2): ode[1008] := diff(y(x),x$2)+a^2*y(x)-cot(a*x):
ode[1009] := diff(y(x),x$2)+l*y(x): ode[1010] := diff(y(x),x$2)+(a*x+b)*y(x):
ode[1011] := diff(y(x),x$2)-(x^2+1)*y(x): ode[1012] := diff(y(x),x$2)-(x^2+a)*y(x):
ode[1013] := diff(y(x),x$2)-(a^2*x^2+a)*y(x): ode[1014] := diff(y(x),x$2)-c*x^a*y(x):
ode[1015] := diff(y(x),x$2)-(a^2*x^(2*n)-1)*y(x): ode[1016] := diff(y(x),x$2)+(a*x^(2*c)+b*x^(c-1))*y(x):
ode[1017] := diff(y(x),x$2)+(exp(2*x)-v^2)*y(x): ode[1018] := diff(y(x),x$2)+a*exp(b*x)*y(x):
ode[1019] := diff(y(x),x$2)-(4*a^2*b^2*x^2*exp(2*b*x^2)-1)*y(x): ode[1020] := diff(y(x),x$2)+(a*exp(2*x)+b*exp(x)+c)*y(x):
ode[1021] := diff(y(x),x$2)+(a*cosh(x)^2+b)*y(x): ode[1022] := diff(y(x),x$2)+(a*cos(2*x)+b)*y(x):
ode[1023] := diff(y(x),x$2)+(a*cos(x)^2+b)*y(x): ode[1024] := diff(y(x),x$2)-(1+2*tan(x)^2)*y(x):
ode[1025] := diff(y(x),x$2)-((m*(m-1))/(cos(x)^2)+(n*(n-1))/(sin(x)^2)+a)*y(x): ode[1026] := diff(y(x),x$2)-(n*(n+1)*WeierstrassP(x,g2,g3)+B)*y(x):	#definicoes especiais, pp.408.
ode[1027] := diff(y(x),x$2)-(n*(n+1)*k^2*JacobiSN(x,k)^2+b)*y(x): ode[1028] := diff(y(x),x$2)-((1/30)*diff(p(x),x,x,x,x)+(7/3)*diff(p(x),x,x)+a*p(x)+b)*y(x): #duvidas (pp.410)
ode[1029] := diff(y(x),x$2)-(f(x)^2+diff(f(x),x))*y(x): ode[1030] := diff(y(x),x$2)+(P(x)+l)*y(x):
ode[1031] := diff(y(x),x$2)-f(x)*y(x): ode[1032] := diff(y(x),x$2)+((1/2)*(diff(g(x),x,x,x))/(diff(g(x),x))-(3/4)*(diff(g(x),x,x))^2/(diff(g(x),x))^2+((1/4)-v^2)*(diff(g(x),x)^2)/(g(x))+diff(g(x),x)^2)*y(x):
ode[1033] := diff(y(x),x$2)+diff(y(x),x)+a*exp(-2*x)*y(x): ode[1034] := diff(y(x),x$2)-diff(y(x),x)+exp(2*x)*y(x):
ode[1035] := diff(y(x),x$2)+a*diff(y(x),x)+b*y(x): ode[1036] := diff(y(x),x$2)+a*diff(y(x),x)+b*y(x)-f(x):
ode[1037] := diff(y(x),x$2)+a*diff(y(x),x)-(b^2*x^2+c)*y(x): ode[1038] := diff(y(x),x$2)+2*a*diff(y(x),x)+f(x)*y(x):
ode[1039] := diff(y(x),x$2)+x*diff(y(x),x)+y(x): ode[1040] := diff(y(x),x$2)+x*diff(y(x),x)-y(x):
ode[1041] := diff(y(x),x$2)+x*diff(y(x),x)+(n+1)*y(x): ode[1042] := diff(y(x),x$2)+x*diff(y(x),x)-n*y(x):
ode[1043] := diff(y(x),x$2)-x*diff(y(x),x)+2*y(x): ode[1044] := diff(y(x),x$2)-x*diff(y(x),x)-a*y(x):
ode[1045] := diff(y(x),x$2)-x*diff(y(x),x)+(x-1)*y(x): ode[1046] := diff(y(x),x$2)-2*x*diff(y(x),x)+a*y(x):
ode[1047] := diff(y(x),x$2)+4*x*diff(y(x),x)+(4*x^2+2)*y(x): ode[1048] := diff(y(x),x$2)-4*x*diff(y(x),x)+(3*x^2+2*n-1)*y(x):
ode[1049] := diff(y(x),x$2)-4*x*diff(y(x),x)+(4*x^2-1)*y(x)-exp(x): ode[1050] := diff(y(x),x$2)-4*x*diff(y(x),x)+(4*x^2-2)*y(x):
ode[1051] := diff(y(x),x$2)-4*x*diff(y(x),x)+(4*x^2-3)*y(x)-exp(x^2): ode[1052] := diff(y(x),x$2)+a*x*diff(y(x),x)+b*y(x):
ode[1053] := diff(y(x),x$2)+2*a*x*diff(y(x),x)+a^2*x^2*y(x): ode[1054] := diff(y(x),x$2)+(a*x+b)*diff(y(x),x)+(c*x+d)*y(x):
ode[1055] := diff(y(x),x$2)+(a*x+b)*diff(y(x),x)+(a1*x^2+b1*x+c1)*y(x): ode[1056] := diff(y(x),x$2)-x^2*diff(y(x),x)+x*y(x):
ode[1057] := diff(y(x),x$2)-x^2*diff(y(x),x)-(x+1)^2*y(x): ode[1058] := diff(y(x),x$2)-x^2*(x+1)*diff(y(x),x)+x*(x^4-2)*y(x):
ode[1059] := diff(y(x),x$2)+x^4*diff(y(x),x)-x^3*y(x): ode[1060] := diff(y(x),x$2)+a*x^(q-1)*diff(y(x),x)+b*x^(q-2)*y(x):
ode[1061] := diff(y(x),x$2)+diff(y(x),x)*x^(1/2)+((1)/(4*x^(1/2))+(x)/(4)-9)*y(x)-x*exp((-1/3)*x^(3/2)): ode[1062] := diff(y(x),x$2)-(diff(y(x),x))/(x^(1/2))+(x+x^(1/2)-8)*y(x)/(4*x^2):
ode[1063] := diff(y(x),x$2)-(2*exp(x)+1)*diff(y(x),x)+exp(2*x)*y(x)-exp(3*x): ode[1064] := diff(y(x),x$2)+a*diff(y(x),x)+tan(x)+b*y(x):
ode[1065] := diff(y(x),x$2)+2*n*diff(y(x),x)*cot(x)+(n^2-a^2)*y(x): ode[1066] := diff(y(x),x$2)+diff(y(x),x)*tan(x)+y(x)*cos(x)^2:
ode[1067] := diff(y(x),x$2)+diff(y(x),x)*tan(x)-y(x)*cos(x)^2: ode[1068] := diff(y(x),x$2)+diff(y(x),x)*cot(x)+v*(v+1)*y(x):
ode[1069] := diff(y(x),x$2)-diff(y(x),x)*cot(x)+y(x)*sin(x)^2: ode[1070] := diff(y(x),x$2)+a*diff(y(x),x)*tan(x)+b*y(x):
ode[1071] := diff(y(x),x$2)+2*a*diff(y(x),x)*cot(a*x)+(b^2-a^2)*y(x): ode[1072] := diff(y(x),x$2)+a*diff(p(x),x,x)*diff(y(x),x)+(a+b*p(x)-4*n*a*p(x)^2)*y(x): #condicoes sobre p(x).
ode[1073] := subs(p(x)=WeierstrassP(x,a,b),diff(y(x),x$2)+(diff(p(x),x,x,x)-p(x)*diff(p(x),x)-diff(p(x),x,x))*diff(y(x),x)/(diff(p(x),x)+p(x)^2)+(diff(p(x),x)^2-p(x)^2*diff(p(x),x)-p(x)*diff(p(x),x,x))*y(x)/(diff(p(x),x)+p(x)^2)): ode[1074] := diff(y(x),x$2)+k^2*JacobiSN(x,k)*JacobiCN(x,k)/JacobiDN(x,k)*diff(y(x),x)+n^2*y(x)*JacobiDN(x,k)^2:
ode[1075] := diff(y(x),x$2)+f(x)*diff(y(x),x)+g(x)*y(x): ode[1076] := diff(y(x),x$2)+f(x)*diff(y(x),x)+(diff(f(x),x)+a)*y(x)-g(x):
ode[1077] := diff(y(x),x$2)+(a*f(x)+b)*diff(y(x),x)+(c*f(x)+d)*y(x): ode[1078] := diff(y(x),x$2)+f(x)*diff(y(x),x)+(f(x)^2/4+diff(f(x),x)/2+a)*y(x):
ode[1079] := diff(y(x),x$2)-a*diff(f(x),x)/f(x)*diff(y(x),x)+b*f(x)^(2*a)*y(x): ode[1080] := diff(y(x),x$2)-(diff(f(x),x)/f(x)+2*a)*diff(y(x),x)+(a*diff(f(x),x)/f(x)+a^2-b^2*f(x)^2)*y(x):
ode[1081] := diff(y(x),x$2)+((f(x)*diff(f(x),x)*diff(f(x),x,x,x))/((f(x)^2+b^2)*diff(f(x),x)))*diff(y(x),x)-(a^2*diff(f(x),x)^2/(f(x)^2+b^2))*y(x): ode[1082] := diff(y(x),x$2)-((diff(g(x),x,x))/(diff(g(x),x))+((2*m-1)*diff(g(x),x))/(g(x)))*diff(y(x),x)+((m^2-v^2)*(diff(g(x),x)^2/g(x))+diff(g(x),x)^2)*y(x):
ode[1083] := diff(y(x),x$2)-diff(f(x),x)*diff(y(x),x)/f(x)+((3/4)*(diff(f(x),x)/f(x))^2-(1/2)*(diff(f(x),x,x)/f(x))-3/4*(diff(g(x),x,x)/diff(g(x),x))^2+1/2*(diff(g(x),x,x,x)/diff(g(x),x))+(1/4-v^2)*(diff(g(x),x)/g(x))^2+diff(g(x),x)^2)*y(x): ode[1084] := diff(y(x),x$2)-(2*diff(f(x),x)/f(x)+diff(g(x),x,x)/diff(g(x),x)-diff(g(x),x)/g(x))*diff(y(x),x)+((diff(f(x),x)/f(x))*(2*diff(f(x),x)/f(x)+diff(g(x),x,x)/diff(g(x),x)-diff(g(x),x)/g(x))-diff(f(x),x,x)/f(x)-v^2*(diff(g(x),x)/g(x))^2+diff(g(x),x)^2)*y(x):
ode[1085] := diff(y(x),x$2)-(diff(g(x),x,x)/diff(g(x),x)+(2*v-1)*(diff(g(x),x)/g(x))+2*diff(h(x),x)/h(x))*diff(y(x),x)+((diff(h(x),x)/h(x))*(diff(g(x),x,x)/diff(g(x),x)+(2*v-1)*(diff(g(x),x)/g(x))+2*diff(h(x),x)/h(x))-diff(h(x),x,x)/h(x)+diff(g(x),x)^2)*y(x): ode[1086] := 4*diff(y(x),x$2)+9*x*y(x):
ode[1087] := 4*diff(y(x),x$2)-(x^2+a)*y(x): ode[1088] := 4*diff(y(x),x$2)+4*diff(y(x),x)*tan(x)-(5*tan(x)^2+2)*y(x):
ode[1089] := a*diff(y(x),x$2)-(x+a*b+c)*diff(y(x),x)+(b*(x+c)+d)*y(x): ode[1090] := a^2*diff(y(x),x$2)+a*(a^2-2*b*exp(-a*x))*diff(y(x),x)+b^2*exp(-2*a*x)*y(x):
ode[1091] := x*(diff(y(x),x$2)+y(x))-cos(x): ode[1092] := x*diff(y(x),x$2)+(x+a)*y(x):
ode[1093] := x*diff(y(x),x$2)+diff(y(x),x): ode[1094] := x*diff(y(x),x$2)+diff(y(x),x)+a*y(x):
ode[1095] := x*diff(y(x),x$2)+diff(y(x),x)+l*x*y(x): ode[1096] := x*diff(y(x),x$2)+diff(y(x),x)+(x+a)*y(x):
ode[1097] := x*diff(y(x),x$2)-diff(y(x),x)+a*y(x): ode[1098] := x*diff(y(x),x$2)-diff(y(x),x)-a*x^3*y(x):
ode[1099] := x*diff(y(x),x$2)-diff(y(x),x)+x^3*(exp(x^2)-v^2)*y(x): ode[1100] := x*diff(y(x),x$2)+2*diff(y(x),x)-x*y(x)-exp(x):
ode[1101] := x*diff(y(x),x$2)+2*diff(y(x),x)+a*x*y(x): ode[1102] := x*diff(y(x),x$2)+2*diff(y(x),x)+a*x^2*y(x):
ode[1103] := x*diff(y(x),x$2)-2*diff(y(x),x)+a*y(x): ode[1104] := x*diff(y(x),x$2)+v*diff(y(x),x)+a*y(x):
ode[1105] := x*diff(y(x),x$2)+a*diff(y(x),x)+b*x*y(x): ode[1106] := x*diff(y(x),x$2)+a*diff(y(x),x)+b*x^(a1)*y(x):
ode[1107] := x*diff(y(x),x$2)+(x+b)*diff(y(x),x)+a*y(x): ode[1108] := x*diff(y(x),x$2)+(x+a+b)*diff(y(x),x)+a*y(x):
ode[1109] := x*diff(y(x),x$2)-x*diff(y(x),x)-y(x)-x*(x+1)*exp(x): ode[1110] := x*diff(y(x),x$2)-x*diff(y(x),x)-a*y(x):
ode[1111] := x*diff(y(x),x$2)-(x+1)*diff(y(x),x)+y(x): ode[1112] := x*diff(y(x),x$2)-(x+1)*diff(y(x),x)-(2*(x-1))*y(x):
ode[1113] := x*diff(y(x),x$2)+(b-x)*diff(y(x),x)-a*y(x): ode[1114] := x*diff(y(x),x$2)-2*(x-1)*diff(y(x),x)-y(x):
ode[1115] := x*diff(y(x),x$2)-(3*x-2)*diff(y(x),x)-(2*x-3)*y(x): ode[1116] := x*diff(y(x),x$2)+(a*x+b+n)*diff(y(x),x)+n*a*y(x):
ode[1117] := x*diff(y(x),x$2)-(a+b)*(x+1)*diff(y(x),x)+a*b*x*y(x): ode[1118] := x*diff(y(x),x$2)+((a+b)*x+m+n)*diff(y(x),x)+(a*b*x+a*n+b*m)*y(x):
ode[1119] := x*diff(y(x),x$2)-2*(a*x+b)*diff(y(x),x)+(a^2*x+2*a*b)*y(x): ode[1120] := x*diff(y(x),x$2)+(a*x+b)*diff(y(x),x)+(c*x+d)*y(x):
ode[1121] := x*diff(y(x),x$2)-(x^2-x)*diff(y(x),x)+(x-1)*y(x): ode[1122] := x*diff(y(x),x$2)-(x^2-x-2)*diff(y(x),x)-x*(x+3)*y(x):
ode[1123] := x*diff(y(x),x$2)-(2*a*x^2+1)*diff(y(x),x)+b*x^3*y(x): ode[1124] := x*diff(y(x),x$2)-2*(x^2-a)*diff(y(x),x)+2*n*x*y(x):
ode[1125] := x*diff(y(x),x$2)+(4*x^2-1)*diff(y(x),x)-4*x^3*y(x)-4*x^5: ode[1126] := x*diff(y(x),x$2)+(2*a*x^3-1)*diff(y(x),x)+(a^2*x^3+a)*x^2*y(x):
# ode[1126,a] := x*diff(y(x),x$2)+(a*x^b+2)*diff(y(x),x)+c*x^(b-1)*y(x): ode[1127] := x*diff(y(x),x$2)+(2*a*x*ln(x)+1)*diff(y(x),x)+(a^2*x*ln(x)^2+a*ln(x)+a)*y(x):
ode[1128] := x*diff(y(x),x$2)+(x*f(x)+2)*diff(y(x),x)+f(x)*y(x): ode[1129] := (x-3)*diff(y(x),x$2)-(4*x-9)*diff(y(x),x)+(3*x-6)*y(x):
ode[1130] := 2*x*diff(y(x),x$2)+diff(y(x),x)+a*y(x): ode[1131] := 2*x*diff(y(x),x$2)-(x-1)*diff(y(x),x)+a*y(x):
ode[1132] := 2*x*diff(y(x),x$2)-(2*x-1)*diff(y(x),x)+a*y(x): ode[1133] := (2*x-1)*diff(y(x),x$2)-(3*x-4)*diff(y(x),x)+(x-3)*y(x):
ode[1134] := 4*x*diff(y(x),x$2)-(x+a)*y(x): ode[1135] := 4*x*diff(y(x),x$2)+2*diff(y(x),x)-y(x):
ode[1136] := 4*x*diff(y(x),x$2)+4*diff(y(x),x)-(x+2)*y(x): ode[1137] := 4*x*diff(y(x),x$2)+4*y(x)-(x+2)*y(x)+l*y(x):  #erro de impressao?
ode[1138] := 4*x*diff(y(x),x$2)+4*m*diff(y(x),x)-(x-2*m-4*n)*y(x): ode[1139] := 16*x*diff(y(x),x$2)+8*diff(y(x),x)-(x+a)*y(x):
ode[1140] := a*x*diff(y(x),x$2)+b*diff(y(x),x)+c*y(x): ode[1141] := a*x*diff(y(x),x$2)+(b*x+3*a)*diff(y(x),x)+3*b*y(x):
ode[1142] := 5*(a*x+b)*diff(y(x),x$2)+8*a*diff(y(x),x)+c*(a*x+b)^(1/5)*y(x): #erro de impressao? ode[1143] := 2*a*x*diff(y(x),x$2)+(b*x+a)*diff(y(x),x)+c*y(x):
ode[1144] := 2*a*x*diff(y(x),x$2)+(b*x+3*a)*diff(y(x),x)+c*y(x): ode[1145] := (a2*x+b2)*diff(y(x),x$2)+(a1*x+b1)*diff(y(x),x)+(a0*x+b0)*y(x):
ode[1146] := x^2*diff(y(x),x$2)-6*y(x): ode[1147] := x^2*diff(y(x),x$2)-12*y(x):
ode[1148] := x^2*diff(y(x),x$2)+a*y(x): ode[1149] := x^2*diff(y(x),x$2)+(a*x+b)*y(x):
ode[1150] := x^2*diff(y(x),x$2)+(x^2-2)*y(x): ode[1151] := x^2*diff(y(x),x$2)-(a*x^2+2)*y(x):
ode[1152] := x^2*diff(y(x),x$2)+(a^2*x^2-6)*y(x): ode[1153] := x^2*diff(y(x),x$2)+(a*x^2-v*(v-1))*y(x):
ode[1154] := x^2*diff(y(x),x$2)+(a*x^2+b*x+c)*y(x): ode[1155] := x^2*diff(y(x),x$2)+(a*x^k-b*(b-1))*y(x):
ode[1156] := x^2*diff(y(x),x$2)+y(x)/ln(x)-x*exp(x)*(2+x*ln(x)): ode[1157] := x^2*diff(y(x),x$2)+a*diff(y(x),x)-x*y(x):
ode[1158] := x^2*diff(y(x),x$2)+a*diff(y(x),x)-(b^2*x^2+a*b)*y(x): ode[1159] := x^2*diff(y(x),x$2)+x*diff(y(x),x)-y(x)-a*x^2:
ode[1160] := x^2*diff(y(x),x$2)+x*diff(y(x),x)+a*y(x): ode[1161] := x^2*diff(y(x),x$2)+x*diff(y(x),x)-(x+a)*y(x):
ode[1162] := x^2*diff(y(x),x$2)+x*diff(y(x),x)+(x^2-v^2)*y(x): ode[1163] := x^2*diff(y(x),x$2)+x*diff(y(x),x)+(x^2-v^2)*y(x)-f(x):
ode[1164] := x^2*diff(y(x),x$2)+x*diff(y(x),x)+(l*x^2-v^2)*y(x): ode[1165] := x^2*diff(y(x),x$2)+x*diff(y(x),x)+4*(x^4-v^2)*y(x):
ode[1165] := x^2*diff(y(x),x$2)+(x+a)*diff(y(x),x)-y(x): ode[1166] := x^2*diff(y(x),x$2)-x*diff(y(x),x)+y(x)-3*x^3:
ode[1167] := x^2*diff(y(x),x$2)-x*diff(y(x),x)+(a*x^m+b)*y(x): ode[1168] := x^2*diff(y(x),x$2)+2*x*diff(y(x),x):
ode[1169] := x^2*diff(y(x),x$2)+2*x*diff(y(x),x)+(a*x-b^2)*y(x): ode[1170] := x^2*diff(y(x),x$2)+2*x*diff(y(x),x)+(a*x^2+b)*y(x):
ode[1171] := x^2*diff(y(x),x$2)+2*x*diff(y(x),x)+(l*x^2+a*x-n*(n+1))*y(x): ode[1172] := x^2*diff(y(x),x$2)+2*(x-1)*diff(y(x),x)+a*y(x):
ode[1173] := x^2*diff(y(x),x$2)+2*(x+a)*diff(y(x),x)-b*(b-1)*y(x): ode[1174] := x^2*diff(y(x),x$2)-2*x*diff(y(x),x)+2*y(x)-x^5*ln(x):
ode[1175] := x^2*diff(y(x),x$2)-2*x*diff(y(x),x)-4*y(x)-x*sin(x)-(a*x^2+12*a+4)*cos(x): ode[1176] := x^2*diff(y(x),x$2)-2*x*diff(y(x),x)+(x^2+2)*y(x):
ode[1177] := x^2*diff(y(x),x$2)-2*x*diff(y(x),x)+(x^2+2)*y(x)-(x^2/cos(x)): ode[1178] := x^2*diff(y(x),x$2)-2*x*diff(y(x),x)+(x^2+2)*y(x)-(x^3/cos(x)):
ode[1179] := x^2*diff(y(x),x$2)-2*x*diff(y(x),x)+(a^2*x^2+2)*y(x): ode[1180] := x^2*diff(y(x),x$2)+3*x*diff(y(x),x)+(x^2+1-v^2)*y(x)-f(x):
ode[1181] := x^2*diff(y(x),x$2)+(3*x-1)*diff(y(x),x)+y(x): ode[1182] := x^2*diff(y(x),x$2)-3*x*diff(y(x),x)+4*y(x)-5*x:
ode[1183] := x^2*diff(y(x),x$2)-3*x*diff(y(x),x)-5*y(x)-x^2*ln(x): ode[1184] := x^2*diff(y(x),x$2)-4*x*diff(y(x),x)+6*y(x)-x^4+x^2:
ode[1185] := x^2*diff(y(x),x$2)+5*x*diff(y(x),x)-(2*x^3-4)*y(x): ode[1186] := x^2*diff(y(x),x$2)-5*x*diff(y(x),x)+8*y(x)-x^3*sin(x):
ode[1187] := x^2*diff(y(x),x$2)+a*x*diff(y(x),x)+b*y(x): ode[1188] := x^2*diff(y(x),x$2)+(a*x+b)*diff(y(x),x)+c*y(x):
ode[1189] := x^2*diff(y(x),x$2)+a*x*diff(y(x),x)+(b*x^m+c)*y(x): ode[1190] := x^2*diff(y(x),x$2)+x^2*diff(y(x),x)+(a*x+b)*y(x):
ode[1191] := x^2*diff(y(x),x$2)+x^2*diff(y(x),x)-2*y(x): ode[1192] := x^2*diff(y(x),x$2)+(x^2-1)*diff(y(x),x)-y(x):
ode[1193] := x^2*diff(y(x),x$2)+(x*(x+1))*diff(y(x),x)+(x-9)*y(x): ode[1194] := x^2*diff(y(x),x$2)+x*(x+1)*diff(y(x),x)+(3*x-1)*y(x):
ode[1195] := x^2*diff(y(x),x$2)+(x+3)*x*diff(y(x),x)-y(x): ode[1196] := x^2*diff(y(x),x$2)-x*(x-1)*diff(y(x),x)+(x-1)*y(x):
ode[1197] := x^2*diff(y(x),x$2)-(x^2-2*x)*diff(y(x),x)-(x+a)*y(x): ode[1198] := x^2*diff(y(x),x$2)-(x^2-2*x)*diff(y(x),x)-(3*x+2)*y(x):
ode[1199] := x^2*diff(y(x),x$2)-x*(x+4)*diff(y(x),x)+4*y(x): ode[1200] := x^2*diff(y(x),x$2)+2*x^2*diff(y(x),x)-v*(v-1)*y(x):
ode[1201] := x^2*diff(y(x),x$2)+x*(2*x+1)*diff(y(x),x)-4*y(x): ode[1202] := x^2*diff(y(x),x$2)-2*x*(x+1)*diff(y(x),x)+2*(x+1)*y(x):
ode[1203] := x^2*diff(y(x),x$2)+a*x^2*diff(y(x),x)-2*y(x): ode[1204] := x^2*diff(y(x),x$2)+(a+2*b)*x^2*diff(y(x),x)+((a+b)*b*x^2-2)*y(x):
ode[1205] := x^2*diff(y(x),x$2)+a*x^2*diff(y(x),x)+f(x)*y(x): ode[1206] := x^2*diff(y(x),x$2)+(2*a*x+b)*x*diff(y(x),x)+(c*x^2+a*b*x+d)*y(x):
ode[1207] := x^2*diff(y(x),x$2)+(a*x+b)*diff(y(x),x)*x+(a1*x^2+b1*x+c1)*y(x): ode[1208] := x^2*diff(y(x),x$2)+x^3*diff(y(x),x)+(x^2-2)*y(x):
ode[1209] := x^2*diff(y(x),x$2)+(x^2+2)*x*diff(y(x),x)+(x^2-2)*y(x): ode[1210] := x^2*diff(y(x),x$2)-2*x*(x^2-a)*diff(y(x),x)+(2*n*x^2+((-1)^n-1)*a)*y(x):
ode[1211] := x^2*diff(y(x),x$2)+4*x^3*diff(y(x),x)+(4*x^4+2*x^2+1)*y(x): ode[1212] := x^2*diff(y(x),x$2)+(a*x^2+b)*x*diff(y(x),x)+f(x)*y(x):
ode[1213] := x^2*diff(y(x),x$2)+(x^3+1)*x*diff(y(x),x)-y(x): ode[1214] := x^2*diff(y(x),x$2)+(-x^4+(2*n+2*a+1)*x^2+(-1)^n*a-a^2)*y(x):
ode[1215] := x^2*diff(y(x),x$2)+(a*x^n+b)*diff(y(x),x)*x+(a1*x^(2*n)+b1*x^n+c1)*y(x): ode[1216] :=x^2*diff(y(x),x$2)+(a*x^(a1)+b)*x*diff(y(x),x)+(A*x^(2*a1)+B*x^(a1)+C*x^(b1)+DD)*y(x):
ode[1217] := x^2*diff(y(x),x$2)-(2*x^2*tan(x)-x)*diff(y(x),x)-(x*tan(x)+a)*y(x): ode[1218] := x^2*diff(y(x),x$2)+(2*x^2*cot(x)+x)*diff(y(x),x)+(x*cot(x)+a)*y(x):
ode[1219] := x^2*diff(y(x),x$2)+2*x*f(x)*diff(y(x),x)+(x*diff(f(x),x)+f(x)^2-f(x)+a*x^2+b*x+c)*y(x): ode[1220] := x^2*diff(y(x),x$2)+2*x^2*f(x)*diff(y(x),x)+(x^2*(diff(f(x),x)+f(x)^2+a)-v*(v-1))*y(x):
ode[1221] := x^2*diff(y(x),x$2)+(x-2*x^2*f(x))*diff(y(x),x)+(x^2*(1+f(x)^2-diff(f(x),x))-x*f(x)-v^2)*y(x): ode[1222] := (x^2+1)*diff(y(x),x$2)+x*diff(y(x),x)+2*y(x):
ode[1223] := (x^2+1)*diff(y(x),x$2)+x*diff(y(x),x)-9*y(x): ode[1224] := (x^2+1)*diff(y(x),x$2)+x*diff(y(x),x)+a*y(x):
ode[1225] := (x^2+1)*diff(y(x),x$2)-x*diff(y(x),x)+y(x): ode[1226] := (x^2+1)*diff(y(x),x$2)+2*x*diff(y(x),x)-v*(v-1)*y(x):
ode[1227] := (x^2+1)*diff(y(x),x$2)-2*x*diff(y(x),x)+2*y(x): ode[1228] := (x^2+1)*diff(y(x),x$2)+3*x*diff(y(x),x)+a*y(x):
ode[1229] := (x^2+1)*diff(y(x),x$2)+4*x*diff(y(x),x)+2*y(x)-2*cos(x)+2*x: ode[1230] := (x^2+1)*diff(y(x),x$2)+a*x*diff(y(x),x)+(a-2)*y(x):
ode[1231] := (x^2-1)*diff(y(x),x$2)-v*(v+1)*y(x): ode[1232] := (x^2-1)*diff(y(x),x$2)-n*(n+1)*y(x)+Diff(LegendreP(n,x),x):
ode[1233] := (x^2-1)*diff(y(x),x$2)-n*(n+1)*y(x)+Diff(LegendreQ(n,x),x): ode[1234] := (x^2-1)*diff(y(x),x$2)+x*diff(y(x),x)+2:
ode[1235] := (x^2-1)*diff(y(x),x$2)+x*diff(y(x),x)+a*y(x): ode[1236] := (x^2-1)*diff(y(x),x$2)+x*diff(y(x),x)+f(x)*y(x):
ode[1237] := (x^2-1)*diff(y(x),x$2)+2*x*diff(y(x),x): ode[1238] := (x^2-1)*diff(y(x),x$2)+2*x*diff(y(x),x)-a:
ode[1239] := (x^2-1)*diff(y(x),x$2)+2*x*diff(y(x),x)-l*y(x): ode[1240] := (x^2-1)*diff(y(x),x$2)+2*x*diff(y(x),x)-v*(v+1)*y(x):
ode[1241] := (x^2-1)*diff(y(x),x$2)-2*x*diff(y(x),x)-(v+2)*(v-1)*y(x): ode[1242] := (x^2-1)*diff(y(x),x$2)-(3*x+1)*diff(y(x),x)-(x^2-x)*y(x):
ode[1243] := (x^2-1)*diff(y(x),x$2)+4*x*diff(y(x),x)+(x^2+1)*y(x): ode[1244] := (x^2-1)*diff(y(x),x$2)+2*(n+1)*x*diff(y(x),x)-(v+n+1)*(v-n)*y(x):
ode[1245] := (x^2-1)*diff(y(x),x$2)-2*(n-1)*x*diff(y(x),x)-(v-n+1)*(v+n)*y(x): ode[1246] := (x^2-1)*diff(y(x),x$2)-2*(v-1)*x*diff(y(x),x)-2*v*y(x):
ode[1247] := (x^2-1)*diff(y(x),x$2)+2*a*x*diff(y(x),x)+a*(a-1)*y(x): ode[1248] := (x^2-1)*diff(y(x),x$2)+a*x*diff(y(x),x)+(b*x^2+c*x+d)*y(x):
ode[1249] := (x^2-1)*diff(y(x),x$2)+(a*x+b)*diff(y(x),x)+c*y(x): ode[1250] := (x^2-a^2)*diff(y(x),x$2)+8*x*diff(y(x),x)+12*y(x):
ode[1251] := x*(x+1)*diff(y(x),x$2)-(x-1)*diff(y(x),x)+y(x): ode[1252] := x*(x+1)*diff(y(x),x$2)+(a*x+b)*diff(y(x),x)+c*y(x):
ode[1253] := x*(x+1)*diff(y(x),x$2)+(3*x+2)*diff(y(x),x)+y(x): ode[1254] := (x^2+x-2)*diff(y(x),x$2)+(x^2-x)*diff(y(x),x)-(6*x^2+7*x)*y(x):
ode[1255] := x*(x-1)*diff(y(x),x$2)+a*diff(y(x),x)-2*y(x): ode[1256] := x*(x-1)*diff(y(x),x$2)+(2*x-1)*diff(y(x),x)-v*(v+1)*y(x):
ode[1257] := x*(x-1)*diff(y(x),x$2)+((a+1)*x+b)*diff(y(x),x): ode[1258] := x*(x-1)*diff(y(x),x$2)+(a*x+b)*diff(y(x),x)+c*y(x):
ode[1259] := x*(x-1)*diff(y(x),x$2)+((a+1)*x+b)*diff(y(x),x)-l*y(x): ode[1260] := x*(x-1)*diff(y(x),x$2)+((a1+b1+1)*x-d1)*diff(y(x),x)+a1*b1*d1:
ode[1261] := x*(x+2)*diff(y(x),x$2)+2*(n+1+(n+1-2*l)*x-l*x^2)*diff(y(x),x)+(2*l*(p-n-1)*x+2*p*l+m)*y(x): ode[1262] := (x+1)^2*diff(y(x),x$2)+(x^2+x-1)*diff(y(x),x)-(x+2)*y(x):
ode[1263] := x*(x+3)*diff(y(x),x$2)+(3*x-1)*diff(y(x),x)+y(x)-(20*x+30)*(x^2+3*x)^(7/3): ode[1264] := (x^2+3*x+4)*diff(y(x),x$2)+(x^2+x+1)*diff(y(x),x)-(2*x+3)*y(x):
ode[1265] := (x-1)*(x-2)*diff(y(x),x$2)-(2*x-3)*diff(y(x),x)+y(x): ode[1266] := (x-2)^2*diff(y(x),x$2)-(x-2)*diff(y(x),x)-3*y(x):
ode[1267] := 2*x^2*diff(y(x),x$2)-(2*x^2-5*x+l)*diff(y(x),x)-(4*x-1)*y(x): ode[1268] := 2*x*(x-1)*diff(y(x),x$2)+(2*x-1)*diff(y(x),x)+(a*x+b)*y(x):
ode[1269] := 2*x*(x-1)*diff(y(x),x$2)+((2*v+5)*x-(2*v+3))*diff(y(x),x)+(v+1)*y(x): ode[1270] := (2*x^2+6*x+4)*diff(y(x),x$2)+(10*x^2+21*x+8)*diff(y(x),x)+(12*x^2+17*x+8)*y(x):
ode[1271] := 4*x^2*diff(y(x),x$2)+y(x): ode[1272] := 4*x^2*diff(y(x),x$2)+(4*a^2*x^2+1)*y(x):
ode[1273] := 4*x^2*diff(y(x),x$2)-(x^2-4*k*x+4*m^2-1)*y(x): ode[1274] := 4*x^2*diff(y(x),x$2)+4*x*diff(y(x),x)+(x-v^2)*y(x):
ode[1275] := 4*x^2*diff(y(x),x$2)+4*x*diff(y(x),x)+(-x^2+2*(1-m+2*l)*x-m^2+1)*y(x): ode[1276] := 4*x^2*diff(y(x),x$2)+4*x*diff(y(x),x)-(4*x^2+1)*y(x)-4*sqrt(x^3)*exp(x):
ode[1277] := 4*x^2*diff(y(x),x$2)+4*x*diff(y(x),x)-(a*x^2+1)*y(x): ode[1278] := 4*x^2*diff(y(x),x$2)+4*x*diff(y(x),x)+f(x)*y(x):
ode[1279] := 4*x^2*diff(y(x),x$2)+5*x*diff(y(x),x)-y(x)-ln(x): ode[1280] := 4*x^2*diff(y(x),x$2)+8*x*diff(y(x),x)-(4*x^2+12*x+3)*y(x):
ode[1281] := 4*x^2*diff(y(x),x$2)-4*x*(2*x-1)*diff(y(x),x)+(4*x^2-4*x-1)*y(x): ode[1282] := 4*x^2*diff(y(x),x$2)+4*x^3*diff(y(x),x)+(x^2+6)*(x^2-4)*y(x):
ode[1283] := 4*x^2*diff(y(x),x$2)+4*x^2*ln(x)*diff(y(x),x)+(x^2*ln(x)^2+2*x-8)*y(x)-4*x^2*sqrt(exp(x)/x^x): ode[1284] := (2*x+1)^2*diff(y(x),x$2)-2*(2*x+1)*diff(y(x),x)-12*y(x)-3*x-1:
ode[1285] := x*(4*x-1)*diff(y(x),x$2)+((4*a+2)*x-a)*diff(y(x),x)+a*(a-1)*y(x): ode[1286] := (3*x-1)^2*diff(y(x),x$2)+3*(3*x-1)*diff(y(x),x)-9*y(x)-ln(3*x-1)^2:	#modulo no ln?
ode[1287] := 9*x*(x-1)*diff(y(x),x$2)+3*(2*x-1)*diff(y(x),x)-20*y(x): ode[1288] := 16*x^2*diff(y(x),x$2)+(4*x+3)*y(x):
ode[1289] := 16*x^2*diff(y(x),x$2)+32*x*diff(y(x),x)-(4*x+5)*y(x): ode[1290] := (27*x^2+4)*diff(y(x),x$2)+27*x*diff(y(x),x)-3*y(x):
ode[1291] := 48*x*(x-1)*diff(y(x),x$2)+(152*x-40)*diff(y(x),x)+53*y(x): ode[1292] := 50*x*(x-1)*diff(y(x),x$2)+25*(2*x-1)*diff(y(x),x)-2*y(x):
ode[1293] := 144*x*(x-1)*diff(y(x),x$2)+(120*x-48)*diff(y(x),x)+y(x): ode[1294] := 144*x*(x-1)*diff(y(x),x$2)+(168*x-96)*diff(y(x),x)+y(x):
ode[1295] := a*x^2*diff(y(x),x$2)+b*x*diff(y(x),x)+(c*x^2+d*x+f)*y(x): #condicoes para a e c! ode[1296] := a2*x^2*diff(y(x),x$2)+(a1*x^2+b1*x)*diff(y(x),x)+(a0*x^2+b0*x+c0)*y(x):
ode[1297] := (a*x^2+1)*diff(y(x),x$2)+a*x*diff(y(x),x)+b*y(x): ode[1298] := (a*x^2+1)*diff(y(x),x$2)+b*x*diff(y(x),x)+c*y(x):
ode[1299] := (a^2*x^2-1)*diff(y(x),x$2)+2*a^2*x*diff(y(x),x): ode[1300] := (a^2*x^2-1)*diff(y(x),x$2)+2*a^2*x*diff(y(x),x)-2*a^2*y(x):
ode[1301] := (a*x^2+b*x)*diff(y(x),x$2)+2*b*diff(y(x),x)-2*a*y(x): ode[1302] := A2*(a*x+b)^2*diff(y(x),x$2)+A1*(a*x+b)*diff(y(x),x)+A0*(a*x+b)*y(x):
ode[1303] := (a*x^2+b*x+c)*diff(y(x),x$2)+(d*x+f)*diff(y(x),x)+g*y(x): ode[1304] := x^3*diff(y(x),x$2)+x*diff(y(x),x)-(2*x+3)*y(x):
ode[1305] := x^3*diff(y(x),x$2)+2*x*diff(y(x),x)-y(x): ode[1306] := x^3*diff(y(x),x$2)+x^2*diff(y(x),x)+(a*x^2+b*x+a)*y(x):
ode[1307] := x^3*diff(y(x),x$2)+x*(x+1)*diff(y(x),x)-2*y(x): ode[1308] := x^3*diff(y(x),x$2)-x^2*diff(y(x),x)+x*y(x)-ln(x)^3:
ode[1309] := x^3*diff(y(x),x$2)-(x^2-1)*diff(y(x),x)+x*y(x): ode[1310] := x^3*diff(y(x),x$2)+3*x^2*diff(y(x),x)+x*y(x)-1:
ode[1311] := x*(x^2+1)*diff(y(x),x$2)+(2*x^2+1)*diff(y(x),x)-v*(v+1)*x*y(x): ode[1312] := x*(x^2+1)*diff(y(x),x$2)+2*(x^2-1)*diff(y(x),x)-2*x*y(x):
ode[1313] := x*(x^2+1)*diff(y(x),x$2)+(2*(n+1)*x^2+2*n+1)*diff(y(x),x)-(v-n)*(v+n+1)*x*y(x): ode[1314] := x*(x^2+1)*diff(y(x),x$2)-(2*(n-1)*x^2+2*n-1)*diff(y(x),x)+(v+n)*(-v+n-1)*x*y(x):
ode[1315] := x*(x^2-1)*diff(y(x),x$2)+diff(y(x),x)+a*x^3*y(x): ode[1316] := x*(x^2-1)*diff(y(x),x$2)+(x^2-1)*diff(y(x),x)-x*y(x):
ode[1317] := x*(x^2-1)*diff(y(x),x$2)+(3*x^2-1)*diff(y(x),x)+x*y(x): ode[1318] := x*(x^2-1)*diff(y(x),x$2)+(a*x^2+b)*diff(y(x),x)+c*x*y(x):
ode[1319] := x*(x^2+2)*diff(y(x),x$2)-diff(y(x),x)-6*x*y(x): ode[1320] := x*(x^2-2)*diff(y(x),x$2)-(x^3+3*x^2-2*x-2)*diff(y(x),x)+(x^2+4*x+2)*y(x):
ode[1321] := x^2*(x+1)*diff(y(x),x$2)-x*(2*x+1)*diff(y(x),x)+(2*x+1)*y(x): ode[1322] := x^2*(x+1)*diff(y(x),x$2)+2*x*(3*x+2)*diff(y(x),x):
ode[1323] := diff(y(x),x$2) = -2/x*(x-2)/(x-1)*diff(y(x),x)+2/x^2*(x+1)/(x-1)*y(x): ode[1324] := diff(y(x),x$2) = 1/x*(5*x-4)/(x-1)*diff(y(x),x)-(9*x-6)/x^2/(x-1)*y(x):
ode[1325] := diff(y(x),x$2) = -((a+b+1)*x+alpha+beta-1)/x/(x-1)*diff(y(x),x)-(a*b*x-alpha*beta)/x^2/(x-1)*y(x): ode[1326] := diff(y(x),x$2) = -1/(x+1)*diff(y(x),x)-1/x/(x+1)^2*y(x):
ode[1327] := diff(y(x),x$2) = 2/x/(x-2)*diff(y(x),x)-1/x^2/(x-2)*y(x): ode[1328] := diff(y(x),x$2) = 2/x/(x-1)^2*y(x):
ode[1329] := diff(y(x),x$2) = -((alpha+beta+1)*x^2-(alpha+beta+1+a*(gamma1+delta)-delta)*x+a*gamma1)/x/(x-1)/(x-a)*diff(y(x),x)-(alpha*beta*x-q)/x/(x-1)/(x-a)*y(x): ode[1330] := diff(y(x),x$2) = -(A*x^2+B*x+C)/(x-a)/(x-b)/(x-c)*diff(y(x),x)-(DD*x+E)/(x-a)/(x-b)/(x-c)*y(x):
ode[1331] := diff(y(x),x$2) = 1/2/x*(x-4)/(x-2)*diff(y(x),x)-1/2*(x-3)/x^2/(x-2)*y(x): ode[1332] := diff(y(x),x$2) = 1/(x+1)*diff(y(x),x)-1/4*(3*x+1)/x^2/(x+1)*y(x):
ode[1333] := diff(y(x),x$2) = -1/2/x*(3*x-1)/(x-1)*diff(y(x),x)+1/4*v*(v+1)/x^2*y(x): ode[1334] := diff(y(x),x$2) = -((a+1)*x-1)/x/(x-1)*diff(y(x),x)-1/4*((a^2-b^2)*x+c^2)/x^2/(x-1)*y(x):
ode[1335] := diff(y(x),x$2) = -1/2/x*(3*x-1)/(x-1)*diff(y(x),x)-1/4*(a*x+b)/x/(x-1)^2*y(x): ode[1336] := diff(y(x),x$2) = -(-3*x+1)/(x-1)/(2*x-1)^2*y(x):
ode[1337] := diff(y(x),x$2) = -1/2/(x+a)*(3*x+a+2*b)/(x+b)*diff(y(x),x)-1/4*(a-b)/(x+a)^2/(x+b)*y(x): ode[1338] := diff(y(x),x$2) = 1/3/x*(6*x-1)/(x-2)*diff(y(x),x)+1/3/x^2/(x-2)*y(x):
ode[1339] := diff(y(x),x$2) = -(a*(b+2)*x^2+(c-d+1)*x)/(a*x+1)/x^2*diff(y(x),x)-(a*b*x-c*d)/(a*x+1)/x^2*y(x): ode[1340] := diff(y(x),x$2) = 2/x*(a*x+2*b)/(a*x+b)*diff(y(x),x)-(2*a*x+6*b)/(a*x+b)/x^2*y(x):
ode[1341] := diff(y(x),x$2) = -1/x*(2*a*x+b)/(a*x+b)*diff(y(x),x)-(a*v*x-b)/(a*x+b)/x^2*y(x)+A*x: ode[1342] := diff(y(x),x$2) = -a/x^4*y(x):
ode[1343] := diff(y(x),x$2) = -(x^2*a*(1-a)-b*(x+b))/x^4*y(x): ode[1344] := diff(y(x),x$2) = -(exp(2/x)-v^2)/x^4*y(x):
ode[1345] := diff(y(x),x$2) = -1/x^3*diff(y(x),x)+2/x^4*y(x): ode[1346] := diff(y(x),x$2) = 1/x^2*(a+b)*diff(y(x),x)-(x*(a+b)+a*b)/x^4*y(x):
ode[1347] := diff(y(x),x$2) = -1/x*diff(y(x),x)-1/x^4*y(x): ode[1348] := diff(y(x),x$2) = -1/x*diff(y(x),x)-(x^2*b+a*(x^4+1))/x^4*y(x):
ode[1349] := diff(y(x),x$2) = -(x^2+1)/x^3*diff(y(x),x)-1/x^4*y(x): ode[1350] := diff(y(x),x$2) = -2/x*diff(y(x),x)-a^2/x^4*y(x):
ode[1351] := diff(y(x),x$2) = -(2*x^2+1)/x^3*diff(y(x),x)+1/x^4*y(x): ode[1352] := diff(y(x),x$2) = -2/x^2*(x+a)*diff(y(x),x)-b/x^4*y(x):
ode[1353] := diff(y(x),x$2) = 1/x^3*(2*x^2-1)*diff(y(x),x)-1/x^4*y(x): ode[1354] := diff(y(x),x$2) = 1/x^3*(2*x^2-1)*diff(y(x),x)-2/x^4*y(x):
ode[1355] := diff(y(x),x$2) = -(x^3-1)/x/(x^3+1)*diff(y(x),x)+x/(x^3+1)*y(x): ode[1356] := diff(y(x),x$2) = -(2*x^2+1)/x/(x^2+1)*diff(y(x),x)-(-v*(v+1)*x^2-n^2)/x^2/(x^2+1)*y(x):
ode[1357] := diff(y(x),x$2) = -1/x*(a*x^2+a-1)/(x^2+1)*diff(y(x),x)-(x^2*b+c)/x^2/(x^2+1)*y(x): ode[1358] := diff(y(x),x$2) = 1/x*(x^2-2)/(x^2-1)*diff(y(x),x)-(x^2-2)/x^2/(x^2-1)*y(x):
ode[1359] := diff(y(x),x$2) = -2*x/(x^2-1)*diff(y(x),x)-v*(v+1)/x^2/(x^2-1)*y(x): ode[1360] := diff(y(x),x$2) = -2*x/(x^2-1)*diff(y(x),x)+v*(v+1)/x^2*y(x):
ode[1361] := diff(y(x),x$2) = 2*x/(x^2-1)*diff(y(x),x)-(a*(a+1)-a*x^2*(a+3))/x^2/(x^2-1)*y(x): # ode[1362] := diff(y(x),x$2) = 2*x/(x^2-1)*diff(y(x),x)-((a-n)*(a+n+1)*x^2*(x^2-1)+2*a*x^2+n*(n+1)*(x^2-1))/x^2/(x^2-1)*y(x):
ode[1362] := x^2*(x^2-1)*diff(y(x),x$2)-2*x^3*diff(y(x),x)-((a-n)*(a+n+1)*x^2*(x^2-1)+2*a*x^2+n*(n+1)*(x^2-1))*y(x): ode[1363] := diff(y(x),x$2) = -1/x*(a*x^2+a-2)/(x^2-1)*diff(y(x),x)-b/x^2*y(x):
ode[1364] := diff(y(x),x$2) = 1/x*(2*b*c*x^c*(x^2-1)+2*(a-1)*x^2-2*a)/(x^2-1)*diff(y(x),x)-(b^2*c^2*x^(2*c)*(x^2-1)+b*c*x^(c+2)*(2*a-c-1)-b*c*x^c*(2*a-c+1)+x^2*(a*(a-1)-v*(v+1))-a*(a+1))/x^2/(x^2-1)*y(x): ode[1365] := diff(y(x),x$2) = -a/(x^2+1)^2*y(x):
ode[1366] := diff(y(x),x$2) = -2/(x^2+1)*x*diff(y(x),x)-1/(x^2+1)^2*y(x): ode[1367] := diff(y(x),x$2) = -2/(x^2+1)*x*diff(y(x),x)-(a^2*(x^2+1)^2-n*(n+1)*(x^2+1)+m^2)/(x^2+1)^2*y(x):
ode[1368] := diff(y(x),x$2) = -a*x/(x^2+1)*diff(y(x),x)-b/(x^2+1)^2*y(x): ode[1369] := diff(y(x),x$2) = -a/(x^2-1)^2*y(x):
ode[1370] := diff(y(x),x$2) = -2*x/(x^2-1)*diff(y(x),x)+a^2/(x^2-1)^2*y(x): ode[1371] := diff(y(x),x$2) = -2*x/(x^2-1)*diff(y(x),x)-(-a^2-lambda*(x^2-1))/(x^2-1)^2*y(x):
ode[1372] := diff(y(x),x$2) = -2*x/(x^2-1)*diff(y(x),x)-((x^2-1)*(a*x^2+b*x+c)-k^2)/(x^2-1)^2*y(x): ode[1373] := diff(y(x),x$2) = -2*x/(x^2-1)*diff(y(x),x)-(-a^2*(x^2-1)^2-n*(n+1)*(x^2-1)-m^2)/(x^2-1)^2*y(x):
ode[1374] := diff(y(x),x$2) = 2*x*(2*a-1)/(x^2-1)*diff(y(x),x)-(x^2*(2*a*(2*a-1)-v*(v+1))+2*a+v*(v+1))/(x^2-1)^2*y(x): ode[1375] := diff(y(x),x$2) = -2*x/(x^2-1)*(n+1-2*a)*diff(y(x),x)-(4*a*x^2*(a-n)-(x^2-1)*(2*a+(v-n)*(v+n+1)))/(x^2-1)^2*y(x):
ode[1376] := diff(y(x),x$2) = -1/x*(2*x^2+a)/(x^2+a)*diff(y(x),x)-b/x^2/(x^2+a)*y(x): ode[1377] := diff(y(x),x$2) = -b^2/(x^2+a^2)^2*y(x):
ode[1378] := diff(y(x),x$2) = -2/x*(x^2-1)/(x-1)^2*diff(y(x),x)-(-2*x^2+2*x+2)/x^2/(x-1)^2*y(x): ode[1379] := diff(y(x),x$2) = 12/(x+1)^2/(x^2+2*x+3)*y(x):
ode[1380] := diff(y(x),x$2) = -b/x^2/(x-a)^2*y(x): ode[1381] := diff(y(x),x$2) = -b/x^2/(x-a)^2*y(x)+c:
ode[1382] := diff(y(x),x$2) = c/(x-a)^2/(x-b)^2*y(x): ode[1383] := diff(y(x),x$2) = -((alpha+beta+1)*(x-a)^2*(x-b)+(1-alpha-beta)*(x-b)^2*(x-a))/(x-a)^2/(x-b)^2*diff(y(x),x)-alpha*beta*(a-b)^2/(x-a)^2/(x-b)^2*y(x):
ode[1384] := diff(y(x),x$2) = -1/4*(-x^2*(a^2-1)+2*(a+3)*b*x-b^2)/x^2*y(x): ode[1385] := diff(y(x),x$2) = -1/4*(a*x^2+a-3)/(x^2+1)^2*y(x):
ode[1386] := diff(y(x),x$2) = 18/(2*x+1)^2/(x^2+x+1)*y(x): ode[1387] := diff(y(x),x$2) = 3/4/(x^2+x+1)^2*y(x):
ode[1388] := diff(y(x),x$2) = -1/2/x*(3*x-1)/(x-1)*diff(y(x),x)-1/4*(v*(v+1)*(x-1)-a^2*x)/x^2/(x-1)^2*y(x): ode[1389] := diff(y(x),x$2) = -1/2/x*(3*x-1)/(x-1)*diff(y(x),x)-1/4*(-v*(v+1)*(x-1)^2-4*n^2*x)/x^2/(x-1)^2*y(x):
ode[1390] := diff(y(x),x$2) = -3/16/x^2/(x-1)^2*y(x): ode[1391] := diff(y(x),x$2) = 1/x*(7*a*x^2+5)/(a*x^2+1)*diff(y(x),x)-(15*a*x^2+5)/x^2/(a*x^2+1)*y(x):
ode[1392] := diff(y(x),x$2) = -b*x/(x^2-1)/a*diff(y(x),x)-(c*x^2+d*x+e)/a/(x^2-1)^2*y(x): ode[1393] := diff(y(x),x$2) = -(x^2*b+c*x+d)/a/x^2/(x-1)^2*y(x):
ode[1394] := diff(y(x),x$2) = -2/x*diff(y(x),x)-c/x^2/(a*x+b)^2*y(x): ode[1395] := diff(y(x),x$2) = -1/(a*x+b)^4*y(x):
ode[1396] := diff(y(x),x$2) = -A/(a*x^2+b*x+c)^2*y(x): ode[1397] := diff(y(x),x$2) = -1/x^4*diff(y(x),x)+1/x^5*y(x):
ode[1398] := diff(y(x),x$2) = -1/(x^2-1)*(3*x^2-1)/x*diff(y(x),x)-(x^2-1-(2*v+1)^2)/(x^2-1)^2*y(x): ode[1399] := diff(y(x),x$2) = 1/(x-1)*(3*x+1)/(x+1)*diff(y(x),x)-36*(x+1)^2/(x-1)^2/(3*x+5)^2*y(x):
ode[1400] := diff(y(x),x$2) = 1/x*diff(y(x),x)-a/x^6*y(x): ode[1401] := diff(y(x),x$2) = -1/x^3*(3*x^2+a)*diff(y(x),x)-b/x^6*y(x):
ode[1402] := diff(y(x),x$2) = -1/x/(x^2-1)*((1-4*a)*x^2-1)*diff(y(x),x)-((x^2-v^2)*(x^2-1)^2+4*a*(a+1)*x^4-2*a*x^2*(x^2-1))/x^2/(x^2-1)^2*y(x): ode[1403] := diff(y(x),x$2) = -((1-a1-b1)/(x-c1)+(1-a2-b2)/(x-c2)+(1-a3-b3)/(x-c3))*diff(y(x),x)-1/(x-c1)/(x-c2)/(x-c3)*(a1*b1*(c1-c3)*(c1-c2)/(x-c1)+a2*b2*(c2-c1)*(c2-c3)/(x-c2)+a3*b3*(c3-c2)*(c3-c1)/(x-c3))*y(x): #NOTE: subject to a1+b1+a2+b2+a3+b3=1
ode[1404] := diff(y(x),x$2) = -(2*x^2+1)/x^3*diff(y(x),x)-1/4*(-2*x^2+1)/x^6*y(x): ode[1405] := diff(y(x),x$2) = (2*x^2+1)/x^3*diff(y(x),x)-1/4*(a*x^4+10*x^2+1)/x^6*y(x):
ode[1406] := diff(y(x),x$2) = -27/16*x/(x^3-1)^2*y(x): ode[1407] := diff(y(x),x$2) = -((1-al1-bl1)*b1/(b1*x-a1)+(1-al2-bl2)*b2/(b2*x-a2)+(1-al3-bl3)*b3/(b3*x-a3))*diff(y(x),x)-1/(b1*x-a1)/(b2*x-a2)/(b3*x-a3)*(al1*bl1*(a1*b2-a2*b1)*(a3*b1-a1*b3)/(b1*x-a1)+al2*bl2*(a2*b3-a3*b2)*(a1*b2-a2*b1)/(b2*x-a2)+al3*bl3*(a3*b1-a1*b3)*(a2*b3-a3*b2)/(b3*x-a3))*y(x): # NOTE: subject to a1+b1+a2+b2+a3+b3=1, abs(an)+abs(bn)>0
ode[1408] := diff(y(x),x$2) = -(x^2*((x^2-a1)*(x^2-a2)+(x^2-a2)*(x^2-a3)+(x^2-a3)*(x^2-a1))-(x^2-a1)*(x^2-a2)*(x^2-a3))/x/(x^2-a1)/(x^2-a2)/(x^2-a3)*diff(y(x),x)-(A*x^2+B)/x/(x^2-a1)/(x^2-a2)/(x^2-a3)*y(x): ode[1409] := diff(y(x),x$2) = -a*x^(2*a-1)/(x^(2*a))*diff(y(x),x)-b^2/(x^(2*a))*y(x):
ode[1410] := diff(y(x),x$2) = -(a*p*x^b+q)/x/(a*x^b-1)*diff(y(x),x)-(a*r*x^b+s)/x^2/(a*x^b-1)*y(x): ode[1411] := diff(y(x),x$2) = 1/(exp(x)+1)*y(x):
ode[1412] := diff(y(x),x$2) = 1/x/ln(x)*diff(y(x),x)+ln(x)^2*y(x): ode[1413] := diff(y(x),x$2) = 1/x/(ln(x)-1)*diff(y(x),x)-1/x^2/(ln(x)-1)*y(x):
ode[1414] := diff(y(x),x$2) = -(-a^2*sinh(x)^2-n*(n-1))/sinh(x)^2*y(x): ode[1415] := diff(y(x),x$2) = -2*n/sinh(x)*cosh(x)*diff(y(x),x)-(n^2-a^2)*y(x):
ode[1416] := diff(y(x),x$2) = -(2*n+1)*cos(x)/sin(x)*diff(y(x),x)-(v-n)*(v+n+1)*y(x): ode[1417] := diff(y(x),x$2) = -(sin(x)^2-cos(x))/sin(x)*diff(y(x),x)-sin(x)^2*y(x):
ode[1418] := diff(y(x),x$2) = -x*sin(x)/(x*cos(x)-sin(x))*diff(y(x),x)+sin(x)/(x*cos(x)-sin(x))*y(x): ode[1419] := diff(y(x),x$2) = -(x^2*sin(x)-2*x*cos(x))/x^2/cos(x)*diff(y(x),x)-(2*cos(x)-x*sin(x))/x^2/cos(x)*y(x):
ode[1420] := cos(x)^2*diff(y(x),x$2) - (a*cos(x)^2 + n*(n-1))* y(x): ode[1421] := diff(y(x),x$2) = -a*(n-1)*sin(2*a*x)/cos(a*x)^2*diff(y(x),x)-n*a^2*((n-1)*sin(a*x)^2+cos(a*x)^2)/cos(a*x)^2*y(x):
ode[1422] := diff(y(x),x$2) = 2/sin(x)^2*y(x): ode[1423] := diff(y(x),x$2) = -a/sin(x)^2*y(x):
ode[1424] := sin(x)^2*diff(y(x),x$2) - (a*sin(x)^2 + n*(n-1))* y(x): ode[1425] := diff(y(x),x$2) = -(-a^2*cos(x)^2-(3-2*a)*cos(x)-3+3*a)/sin(x)^2*y(x):
ode[1426] := sin(x)^2*diff(y(x),x$2) -(a^2*cos(x)^2 + b*cos(x) + b^2/(2*a-3)^2 + 3*a + 2)*y(x): ode[1427] := diff(y(x),x$2) = -(-(a^2*b^2-(a+1)^2)*sin(x)^2-a*(a+1)*b*sin(2*x)-a*(a-1))/sin(x)^2*y(x):
ode[1428] := diff(y(x),x$2) = -(a*cos(x)^2+b*sin(x)^2+c)/sin(x)^2*y(x): ode[1429] := diff(y(x),x$2) = -1/sin(x)*cos(x)*diff(y(x),x)+1/sin(x)^2*y(x):
ode[1430] := diff(y(x),x$2) = -1/sin(x)*cos(x)*diff(y(x),x)-(v*(v+1)*sin(x)^2-n^2)/sin(x)^2*y(x): ode[1431] := diff(y(x),x$2) = cos(2*x)/sin(2*x)*diff(y(x),x)-2*y(x):
ode[1432] := diff(y(x),x$2) = -1/sin(x)*cos(x)*diff(y(x),x)-1/4*(-17*sin(x)^2-1)/sin(x)^2*y(x): ode[1433] := diff(y(x),x$2) = -sin(x)/cos(x)*diff(y(x),x)-1/4*(2*x^2+x^2*sin(x)^2-24*cos(x)^2)/x^2/cos(x)^2*y(x)+cos(x)^(1/2):
ode[1434] := diff(y(x),x$2) = -b/sin(x)*cos(x)/a*diff(y(x),x)-(c*cos(x)^2+d*cos(x)+e)/a/sin(x)^2*y(x): ode[1435] := diff(y(x),x$2) = -4*sin(3*x)/sin(x)^3*y(x):
ode[1436] := diff(y(x),x$2) = -1/4*(4*v*(v+1)*sin(x)^2-cos(x)^2+2-4*n^2)/sin(x)^2*y(x): ode[1437] := diff(y(x),x$2) = (3*sin(x)^2+1)/cos(x)/sin(x)*diff(y(x),x)+sin(x)^2/cos(x)^2*y(x):
ode[1438] := diff(y(x),x$2) = -(-a*cos(x)^2*sin(x)^2-m*(m-1)*sin(x)^2-n*(n-1)*cos(x)^2)/cos(x)^2/sin(x)^2*y(x): ode[1439] := diff(y(x),x$2) = diff(phi(x),x)/(phi(x)-phi(a))*diff(y(x),x)-(-n*(n+1)*(phi(x)-phi(a))^2+(D@@2)(phi)(a))/(phi(x)-phi(a))*y(x):
ode[1440] := diff(y(x),x$2) = -(phi(x^3)-phi(x)*diff(phi(x),x)-diff(diff(phi(x),x),x))/(diff(phi(x),x)+phi(x)^2)*diff(y(x),x)-(diff(phi(x),x)^2-phi(x)^2*diff(phi(x),x)-phi(x)*diff(diff(phi(x),x),x))/(diff(phi(x),x)+phi(x)^2)*y(x): ode[1441] := diff(y(x),x$2) = (2*JacobiSN(x,k)*JacobiCN(x,k)*JacobiDN(x,k)*diff(y(x),x)-2*(1-2*(k^2+1)*JacobiSN(a,k)^2+3*k^2*JacobiSN(a,k)^4)*y(x))/(JacobiSN(x,k)^2-JacobiSN(a,k)):
ode[1442] := diff(y(x),x$2) = -x/f(x)*diff(y(x),x)+1/f(x)*y(x): ode[1443] := diff(y(x),x$2) = -1/2*diff(f(x),x)/f(x)*diff(y(x),x)-g(x)/f(x)*y(x):
ode[1444] := diff(y(x),x$2) = a*diff(f(x),x)/f(x)*diff(y(x),x)-b*f(x)^(2*a+1)/f(x)*y(x): ode[1445] := diff(y(x),x$2) = -(2*f(x)*diff(g(x),x)^2*g(x)-(g(x)^2-1)*(f(x)*diff(diff(g(x),x),x)+2*diff(f(x),x)*diff(g(x),x)))/f(x)/diff(g(x),x)/(g(x)^2-1)*diff(y(x),x)-((g(x)^2-1)*(diff(f(x),x)*(f(x)*diff(diff(g(x),x),x)+2*diff(f(x),x)*diff(g(x),x))-f(x)*diff(diff(f(x),x),x)*diff(g(x),x))-(2*diff(f(x),x)*g(x)+v*(v+1)*f(x)*diff(g(x),x))*f(x)*diff(g(x),x)^2)/f(x)^2/diff(g(x),x)/(g(x)^2-1)*y(x):
ode[1446] := diff(y(x),x$2) = -1/x*diff(y(x),x)-(x-1)/x^4*y(x): # was ode[347.1] ode[1447] := diff(y(x),x$2) = -1/x*diff(y(x),x)-(-x-1)/x^4*y(x):  # was ode[347.2]
ode[1448] := diff(y(x),x$2) = -b^2/(x^2-a^2)^2*y(x): # was ode[377.2] #chapter 3 # in ode[50], n is a natural number # in ode[79], a is not equal to b # ode[84] and [85] correspond to odes 4a (+/- respectively(x)) in chapter 3 # Also n is a natural number in these odes ode[1449] := diff(y(x),x$3)-lambda*y(x):
ode[1450] := diff(y(x),x$3)+a*x^3*y(x)-b*x: ode[1451] := diff(y(x),x$3)-a*x^b*y(x):
ode[1452] := diff(y(x),x$3)+3*diff(y(x),x)-4*y(x): ode[1453] := diff(y(x),x$3)-a^2*diff(y(x),x)-exp(2*a*x)*(sin(x))^2:
ode[1454] := diff(y(x),x$3)+2*a*x*diff(y(x),x)+a*y(x): ode[1455] := diff(y(x),x$3)-x^2*diff(y(x),x$2)+(a+b-1)*x*diff(y(x),x)-a*b*y(x): ode[1456] := diff(y(x),x$3)+x^(2*c-2)*diff(y(x),x)+(c-1)*x^(2*c-3)*y(x):
ode[1457] := diff(y(x),x$3)-3*(2*WeierstrassP(x,g2,g3)+a)*diff(y(x),x)+b*y(x): ode[1458] := diff(y(x),x$3)+(1-n^2)*WeierstrassP(x,g2,g3)*diff(y(x),x)+1/2*((1-n^2)*WeierstrassPPrime(x,g2,g3)-a)*y(x):
ode[1459] := diff(y(x),x$3)-(4*n*(n+1)*WeierstrassP(x,g2,g3)+a)*diff(y(x),x)-2*n*(n+1)*WeierstrassPPrime(x,g2,g3)*y(x): ode[1460] := diff(y(x),x$3)+(A*WeierstrassP(x,g2,g3)+a)*diff(y(x),x)+B*WeierstrassPPrime(x,g2,g3)*y(x):
ode[1461] := diff(y(x),x$3)-(3*k^2*(JacobiSN(z,x))^2+a)*diff(y(x),x)+(b+c*(JacobiSN(z,x))^2-3*k^2*JacobiSN(z,x)*JacobiCN(z,x)*JacobiDN(z,x))*y(x): ode[1462] := diff(y(x),x$3)-(6*k^2*(sin(x))^2+a)*diff(y(x),x)+b*y(x):
ode[1463] := diff(y(x),x$3)+2*f(x)*diff(y(x),x)+diff(f(x),x)*y(x): ode[1464] := diff(y(x),x$3)-2*diff(y(x),x$2)-3*diff(y(x),x)+10*y(x): ode[1465] := diff(y(x),x$3)-2*diff(y(x),x$2)-a^2*diff(y(x),x)+2*a^2*y(x)-sinh(x): ode[1466] := diff(y(x),x$3)-3*a*diff(y(x),x$2)+3*a^2*diff(y(x),x)-a^3*y(x)-exp(a*x): ode[1467] := diff(y(x),x$3)+a2*diff(y(x),x$2)+a1*diff(y(x),x)+a0*y(x): ode[1468] := diff(y(x),x$3)-6*x*diff(y(x),x$2)+2*(4*x^2+2*a-1)*diff(y(x),x)-8*a*x*y(x): ode[1469] := diff(y(x),x$3)+3*a*x*diff(y(x),x$2)+3*a^2*x^2*diff(y(x),x)+a^3*x^3*y(x): ode[1470] := diff(y(x),x$3)-diff(y(x),x$2)*sin(x)-2*diff(y(x),x)*cos(x)+y(x)*sin(x)-log(x): ode[1471] := diff(y(x),x$3)+f(x)*diff(y(x),x$2)+diff(y(x),x)+f(x)*y(x): ode[1472] := diff(y(x),x$3)+f(x)*(x^2*diff(y(x),x$2)-2*x*diff(y(x),x)+2*y(x)): ode[1473] := diff(y(x),x$3)+f(x)*diff(y(x),x$2)+g(x)*diff(y(x),x)+(f(x)*g(x)+diff(g(x),x))*y(x): ode[1474] := diff(y(x),x$3)+3*f(x)*diff(y(x),x$2)+(diff(f(x),x)+2*(f(x))^2+4*g(x))*diff(y(x),x)+(4*f(x)*g(x)+2*diff(g(x),x))*y(x): ode[1475] := 4*diff(y(x),x$3)-8*diff(y(x),x$2)-11*diff(y(x),x)-3*y(x)+18*exp(x): ode[1476] := 27*diff(y(x),x$3)-36*n^2*WeierstrassP(x,g2,g3)*diff(y(x),x)-2*n*(n+3)*(4*n-3)*WeierstrassPPrime(x,g2,g3)*y(x):
ode[1477] := x*diff(y(x),x$3)+3*diff(y(x),x$2)+x*y(x):
ode[1478] := x*diff(y(x),x$3)+3*diff(y(x),x$2)-a*x^2*y(x):
ode[1479] := x*diff(y(x),x$3)+(a+b)*diff(y(x),x$2)-x*diff(y(x),x)-a*y(x):
ode[1480] := x*diff(y(x),x$3)-(x+2*v)*diff(y(x),x$2)-(x-2*v-1)*diff(y(x),x)+(x-1)*y(x):
ode[1481] := x*diff(y(x),x$3)+(x^2-3)*diff(y(x),x$2)+4*x*diff(y(x),x)+2*y(x)-f(x):
ode[1482] := 2*x*diff(y(x),x$3)+3*diff(y(x),x$2)+a*x*y(x)-b:
ode[1483] := 2*x*diff(y(x),x$3)-4*(x+nu-1)*diff(y(x),x$2)+(2*x+6*nu-5)*diff(y(x),x)+(1-2*nu)*y(x):
ode[1484] := 2*x*diff(y(x),x$3)+3*(2*a*x+k)*diff(y(x),x$2)+6*(b*x+a*k)*diff(y(x),x)+(2*c*x+3*b*k)*y(x):
ode[1485] := (x-2)*x*diff(y(x),x$3)-(x-2)*x*diff(y(x),x$2)-2*diff(y(x),x)+2*y(x):
ode[1486] := (2*x-1)*diff(y(x),x$3)-8*x*diff(y(x),x)+8*y(x): ode[1487] := (2*x-1)*diff(y(x),x$3)+(x+4)*diff(y(x),x$2)+2*diff(y(x),x): ode[1488] := x^2*diff(y(x),x$3)-6*diff(y(x),x)+a*x^2*y(x):
ode[1489] := x^2*diff(y(x),x$3)+(x+1)*diff(y(x),x$2)-y(x):
ode[1490] := x^2*diff(y(x),x$3)-x*diff(y(x),x$2)+(x^2+1)*diff(y(x),x):
ode[1491] := x^2*diff(y(x),x$3)+3*x*diff(y(x),x$2)+(4*a^2*x^(2*a)+1-4*nu^2*a^2)*diff(y(x),x)=4*(a^3*x^(2*a-1))*y(x):
ode[1492] := x^2*diff(y(x),x$3)-3*(x-m)*x*diff(y(x),x$2)+(2*x^2+4*(n-m)*x+m*(2*m-1))*diff(y(x),x)-2*n*(2*x-2*m+1)*y(x):
ode[1493] := x^2*diff(y(x),x$3)+4*x*diff(y(x),x$2)+(x^2+2)*diff(y(x),x)+3*x*y(x)-f(x):
ode[1494] := x^2*diff(y(x),x$3)+5*x*diff(y(x),x$2)+4*diff(y(x),x)-log(x):
ode[1495] := x^2*diff(y(x),x$3)+6*x*diff(y(x),x$2)+6*diff(y(x),x):
ode[1496] := x^2*diff(y(x),x$3)+6*x*diff(y(x),x$2)+6*diff(y(x),x)+a*x^2*y(x):
ode[1497] := x^2*diff(y(x),x$3)-3*(p+q)*x*diff(y(x),x$2)+3*p*(3*q+1)*diff(y(x),x)-x^2*y(x):
ode[1498] := x^2*diff(y(x),x$3)-2*(n+1)*x*diff(y(x),x$2)+(a*x^2+6*n)*diff(y(x),x)-2*a*x*y(x):
ode[1499] := x^2*diff(y(x),x$3)-(x^2-2*x)*diff(y(x),x$2)-(x^2+nu^2-1/4)*diff(y(x),x)+(x^2-2*x+nu^2-1/4)*y(x):
ode[1500] := x^2*diff(y(x),x$3)-(x+nu)*x*diff(y(x),x$2)+nu*(2*x+1)*diff(y(x),x)-nu*(x+1)*y(x):
ode[1501] := x^2*diff(y(x),x$3)-2*(x^2-x)*diff(y(x),x$2)+(x^2-2*x+1/4-nu^2)*diff(y(x),x)+(nu^2-1/4)*y(x):
ode[1502] := x^2*diff(y(x),x$3)-(x^4-6*x)*diff(y(x),x$2)-(2*x^3-6)*diff(y(x),x)+2*x^2*y(x):
ode[1503] := (x^2+1)*diff(y(x),x$3)+8*x*diff(y(x),x$2)+10*diff(y(x),x)-3+1/x^2-2*log(x):
ode[1504] := (x^2+2)*diff(y(x),x$3)-2*x*diff(y(x),x$2)+(x^2+2)*diff(y(x),x)-2*x*y(x):
ode[1505] := 2*x*(x-1)*diff(y(x),x$3)+3*(2*x-1)*diff(y(x),x$2)+(2*a*x+b)*diff(y(x),x)+a*y(x):
ode[1506] := 4*x^2*diff(y(x),x$3)+(x^2+14*x-1)*diff(y(x),x$2)+4*(x+1)*diff(y(x),x)+2*y(x):
ode[1507] := (a*x+b)*x*diff(y(x),x$3)+(alpha*x+beta)*diff(y(x),x$2)+x*diff(y(x),x)+y(x)-f(x):
ode[1508] := x^3*diff(y(x),x$3)+(1-nu^2)*x*diff(y(x),x)+(a*x^3+nu^2-1)*y(x): ode[1509] := x^3*diff(y(x),x$3)+(4*x^3+(1-4*nu^2)*x)*diff(y(x),x)+(4*nu^2-1)*y(x):
ode[1510] := x^3*diff(y(x),x$3)+(a*x^(2*nu)+1-nu^2)*x*diff(y(x),x)+(b*x^(3*nu)+a*(nu-1)*x^(2*nu)+nu^2-1)*y(x): ode[1511] := x^3*diff(y(x),x$3)+3*x^2*diff(y(x),x$2)-2*x*diff(y(x),x)+2*y(x)-6*x^3*(x-1)*log(x)+x^3*(x+8): ode[1512] := x^3*diff(y(x),x$3)+3*x^2*diff(y(x),x$2)+(1-a^2)*x*diff(y(x),x): ode[1513] := x^3*diff(y(x),x$3)-4*x^2*diff(y(x),x$2)+(x^2+8)*x*diff(y(x),x)-2*(x^2+4)*y(x): ode[1514] := x^3*diff(y(x),x$3)+6*x^2*diff(y(x),x$2)+(a*x^3-12)*y(x): ode[1515] := x^3*diff(y(x),x$3)+3*(1-a)*x^2*diff(y(x),x$2)+(4*b^2*c^2*x^(2*c+1)+(1-4*nu^2*c^2+3*a*(a-1)*x))*diff(y(x),x)+(4*b^2*c^2*(c-a)*x^(2*c)+a*(4*nu^2*c^2-a^2))*y(x): ode[1516] := x^3*diff(y(x),x$3)+(x+3)*x^2*diff(y(x),x$2)+5*(x-6)*x*diff(y(x),x)+(4*x+30)*y(x): ode[1517] := x^3*diff(y(x),x$3)+x^2*diff(y(x),x$2)+log(x)+2*x*diff(y(x),x)-y(x)-2*x^3: ode[1518] := (x^2+1)*x*diff(y(x),x$3)+3*(2*x^2+1)*diff(y(x),x$2)-12*y(x): ode[1519] := (x+3)*x^2*diff(y(x),x$3)-3*(x+2)*x*diff(y(x),x$2)+6*(x+1)*diff(y(x),x)-6*y(x): ode[1520] := 2*(x-a1)*(x-a2)*(x-a3)*diff(y(x),x$3)+(9*x^2-6*(a1+a2+a3)*x+3*(a1*a2+a1*a3+a2*a3))*diff(y(x),x$2)-2*((n^2+n-3)*x+b)*diff(y(x),x)-n*(n+1)*y(x): ode[1521] := (x+1)*x^3*diff(y(x),x$3)-(4*x+2)*x^2*diff(y(x),x$2)+(10*x+4)*x*diff(y(x),x)-4*(3*x+1)*y(x): ode[1522] := 4*x^4*diff(y(x),x$3)-4*x^3*diff(y(x),x$2)+4*x^2*diff(y(x),x)-1: ode[1523] := (x^2+1)*x^3*diff(y(x),x$3)-(4*x^2+2)*x^2*diff(y(x),x$2)+(10*x^2+4)*x*diff(y(x),x)-4*(3*x^2+1)*y(x): ode[1524] := x^6*diff(y(x),x$3)+x^2*diff(y(x),x$2)-2*y(x): ode[1525] := x^6*diff(y(x),x$3)+6*x^5*diff(y(x),x$2)+a*y(x): ode[1526] := x^2*(x^4+2*x^2+2*x+1)*diff(y(x),x$3)-(2*x^6+3*x^4-6*x^2-6*x-1)*diff(y(x),x$2)+(x^6-6*x^3-15*x^2-12*x-2)*diff(y(x),x)+(x^4+4*x^3+8*x^2+6*x+1)*y(x): ode[1527] := (x-a)^3*(x-b)^3*diff(y(x),x$3)-c*y(x):
ode[1528] := diff(y(x),x$3)*sin(x)+(2*cos(x)+1)*diff(y(x),x$2)-diff(y(x),x)*sin(x)-cos(x):
ode[1529] := (sin(x)+x)*diff(y(x),x$3)+3*(cos(x)+1)*diff(y(x),x$2)-3*diff(y(x),x)*sin(x)-y(x)*cos(x)+sin(x):
ode[1530] := diff(y(x),x$3)*(sin(x))^2+3*diff(y(x),x$2)*sin(x)*cos(x)+(cos(2*x)+4*nu*(nu+1)*(sin(x))^2)*diff(y(x),x)+2*nu*(nu+1)*y(x)*sin(2*x):
ode[1531] := diff((f(x)*diff(y(x),x$2)+g(x)*diff(y(x),x)+h(x)*y(x)),x)+A(x)*(f(x)*diff(y(x),x$2)+g(x)*diff(y(x),x)+h(x)*y(x)):
ode[1532] := diff(y(x),x$3)+x*diff(y(x),x)+n*y(x): ode[1533] := diff(y(x),x$3)-x*diff(y(x),x)-n*y(x):
#chapter 4
ode[1534] := d4y(x):
ode[1535] := d4y(x)+4*y(x)-f:
ode[1536] := d4y(x)+lambda*y(x):
ode[1537] := d4y(x)-12*diff(y(x),x$2)+12*y(x)-16*x^4*exp(x^2): ode[1538] := d4y(x)+2*a^2*diff(y(x),x$2)+a^4*y(x)-cosh(a*x):
ode[1539] := d4y(x)+(lambda+1)*a^2*diff(y(x),x$2)+lambda*a^4*y(x): ode[1540] := d4y(x)+a*(b*x-1)*diff(y(x),x$2)+a*b*diff(y(x),x)+lambda*y(x):
ode[1541] := d4y(x)+(a*x^2+b*lambda+c)*diff(y(x),x$2)+(a*x^2+beta*lambda+gamma)*y(x): ode[1542] := d4y(x)+a*WeierstrassP(x,g2,g3)*diff(y(x),x$2)+b*WeierstrassPPrime(x,g2,g3)*diff(y(x),x)+(c*diff(WeierstrassP(x,g2,g3),x$2)+d)*y(x): ode[1543] := d4y(x)-(12*k^2*(JacobiSN(z,x))^2+a)*diff(y(x),x$2)+b*diff(y(x),x)+(alpha*(JacobiSN(z,x))^2+beta)*y(x):
ode[1544] := d4y(x)+10*f*diff(y(x),x$2)+10*df*diff(y(x),x)+(3*ddf+3*f^2)*y(x): ode[1545] := d4y(x) + 2*diff(y(x),x$3)-3*diff(y(x),x$2)-4*diff(y(x),x)+4*y(x)-32*sin(2*x)+24*cos(2*x): ode[1546] := d4y(x)+4*a*x*diff(y(x),x$3)+6*a^2*x^2*diff(y(x),x$2)+4*a^3*x^3*diff(y(x),x)+a^4*x^4*y(x): ode[1547] := d4y(x)+6*f*diff(y(x),x$3)+(4*df+11*f^2+10*g)*diff(y(x),x$2)+(ddf+7*f*df+6*f^3+30*f*g+10*dg)*diff(y(x),x)+3*(2*df*g+5*f*dg+6*f^2*g+ddg+3*g^2)*y(x): ode[1548] := 4*d4y(x)-12*diff(y(x),x$3)+11*diff(y(x),x$2)-3*diff(y(x),x)-4*cos(x): ode[1549] := x*d4y(x)+5*diff(y(x),x$3)-24:
ode[1550] := x*d4y(x)-(6*x^2+1)*diff(y(x),x$3)+12*x^3*diff(y(x),x$2)-(9*x^2-7)*x^2*diff(y(x),x)+2*(x^2-3)*x^3*y(x):
ode[1551] := x^2*d4y(x)-2*(nu^2*x^2+6)*diff(y(x),x$2)+nu^2*(nu^2*x^2+4)*y(x): ode[1552] := x^2*d4y(x)+2*x*diff(y(x),x$3)+a*y(x)-b*x^2:
ode[1553] := x^2*d4y(x)+4*x*diff(y(x),x$3)+2*diff(y(x),x$2):
ode[1554] := x^2*d4y(x)+6*x*diff(y(x),x$3)+6*diff(y(x),x$2):
ode[1555] := x^2*d4y(x)+6*x*diff(y(x),x$3)+6*diff(y(x),x$2)-lambda^2*y(x):
ode[1556] := x^2*d4y(x)+8*x*diff(y(x),x$3)+12*diff(y(x),x$2):
ode[1557] := x^2*d4y(x)+8*x*diff(y(x),x$3)+12*diff(y(x),x$2)-lambda^2*y(x):
ode[1558] := x^2*d4y(x)+(2*n-2*nu+4)*x*diff(y(x),x$3)+(n-nu+1)*(n-nu+2)*diff(y(x),x$2)-b^4/16*y(x):
ode[1559] := x^3*d4y(x)+2*x^2*diff(y(x),x$3)-x*diff(y(x),x$2)+diff(y(x),x)-a^4*x^3*y(x):
ode[1560] := x^3*d4y(x)+6*x^2*diff(y(x),x$3)+6*x*diff(y(x),x$2):
ode[1561] := x^4*d4y(x)-2*n*(n+1)*x^2*diff(y(x),x$2)+4*n*(n+1)*x*diff(y(x),x)+(a*x^4+n*(n+1)*(n+3)*(n-2))*y(x): ode[1562] := x^4*d4y(x)+4*x^3*diff(y(x),x$3)-(4*n^2-1)*x^2*diff(y(x),x$2)+(4*n^2-1)*x*diff(y(x),x)-4*x^4*y(x): ode[1563] := x^4*d4y(x)+4*x^3*diff(y(x),x$3)-(4*n^2-1)*x^2*diff(y(x),x$2)-(4*n^2-1)*x*diff(y(x),x)+(4*n^2-1-4*x^4)*y(x): ode[1564] := x^4*d4y(x)+4*x^3*diff(y(x),x$3)-(4*n^2+3)*x^2*diff(y(x),x$2)+(12*n^2-3)*x*diff(y(x),x)-(12*n^2-3+4*x^4)*y(x): ode[1565] := x^4*d4y(x)+6*x^3*diff(y(x),x$3)+(4*x^4+(7-rho^2-sigma^2)*x^2)*diff(y(x),x$2)+(16*x^3+(1-rho^2-sigma^2)*x)*diff(y(x),x)+(8*x^2+rho^2*sigma^2)*y(x): ode[1566] := x^4*d4y(x)+6*x^3*diff(y(x),x$3)+(4*x^4+(7-2*mu^2-2*nu^2)*x^2)*diff(y(x),x$2)+(16*x^3+(1-2*mu^2-2*nu^2)*x)*diff(y(x),x)+(8*x^2+(mu^2-nu^2)^2)*y(x): ode[1567] := x^4*d4y(x)+8*x^3*diff(y(x),x$3)+12*x^2*diff(y(x),x$2): ode[1568] := x^4*d4y(x)+8*x^3*diff(y(x),x$3)+12*x^2*diff(y(x),x$2)+a*y(x): A := 6*(a-1)^2-2*c^2*(mu^2+nu^2)+1: B := 3*c-2*a+1: C := 2*c^2*(mu^2+nu^2)-2*a*(a-1)-1: DD := (a-c)*(a-2*c): EE := (mu*c+nu*c+a)*(mu*c+nu*c-a)*(mu*c-nu*c+a)*(mu*c-nu*c-a): ode[1569] := x^4*d4y(x)+(6-4*a)*x^3*diff(y(x),x$3)+(4*b^2*c^2*x^(2*c)+A)*x^2*diff(y(x),x$2)+(4*B*b^2*c^2*x^(2*c)+(2*a-1)*C)*x*diff(y(x),x)+(4*DD*b^2*c^2*x^(2*c)+EE)*y(x): A := 'A': B := 'B': C := 'C': DD := 'DD': EE := 'EE': ode[1570] := x^4*d4y(x)+(6-4*a-4*c)*x^3*diff(y(x),x$3)+(2*(a^2-nu^2*c^2)+4*(a+c-1)^2+4*(a-1)*(c-1)-1)*x^2*diff(y(x),x$2)+(2*(nu^2*c^2-a^2)-(2*a-1)*(2*c-1))*(2*a+2*c-1)*x*diff(y(x),x)+((a^2-nu^2*c^2)*(a^2+4*a*c+4*c^2-nu^2*c^2)-b^4*c^4*x^(4*c))*y(x): ode[1571] := nu^4*x^4*d4y(x)+(4*nu-2)*nu^3*x^3*diff(y(x),x$3)+(nu-1)*(2*nu-1)*nu^2*x^2*diff(y(x),x$2)-1/16*b^4*x^(2/nu)*y(x): # note 4.39 is wrong in Kamke - look at 2.240(22) for correct form - GL ode[1572] := (x^2-1)^2*d4y(x)+10*x*(x^2-1)*diff(y(x),x$3)+(8*(3*x^2-1)-2*(mu*(mu+1)+nu*(nu+1))*(x^2-1))*diff(y(x),x$2)-6*x*(mu*(mu+1)+nu*(nu+1)-2)*diff(y(x),x)+((mu*(mu+1)-nu*(nu+1))^2-2*mu* (mu+1)-2*nu*(nu+1))*y(x): ode[1573] := (exp(x)+2*x)*d4y(x)+4*(exp(x)+2)*diff(y(x),x$3)+6*exp(x)*diff(y(x),x$2)+4*exp(x)*diff(y(x),x)+exp(x)*y(x)-1/x^5: ode[1574] := d4y(x)*(sin(x))^4+2*diff(y(x),x$3)*(sin(x))^3*cos(x)+diff(y(x),x$2)*(sin(x))^2*((sin(x))^2-3)+diff(y(x),x)*sin(x)*cos(x)*(2*(sin(x))^2+3)+(a^4*(sin(x))^4-3)*y(x): ode[1575] := d4y(x)*(sin(x))^6+4*diff(y(x),x$3)*(sin(x))^5*cos(x)-6*diff(y(x),x$2)*(sin(x))^6-4*diff(y(x),x)*(sin(x))^5*cos(x)+y(x)*(sin(x))^6-f: ode[1576] := f*(d4y(x)-2*a^2*diff(y(x),x$2)+a^4*y(x))+2*df*(diff(y(x),x$3)-a^2*diff(y(x),x)): ode[1577] := diff(f*diff(y(x),x$2),x$2): ode[1578] := d4y(x)-2*a^2*diff(y(x),x$2)+a^4*y(x)-lambda*(a*x-b)*(diff(y(x),x$2)-a^2*y(x)): ##################################################################### # ode[45] corresponds to ode C.4.7a in Kamke #chapter 5 n := 5: ode[1579] := diff(y(x),x$5)+2*diff(y(x),x$3)+diff(y(x),x)-a*x-b*sin(x)-c*cos(x): ode[1580] := diff(y(x),x$6)+y(x)-sin(3/2*x)*sin(1/2*x):
ode[1581] := diff(y(x),x$n)-a*x*y(x)-b: #ode[3] := diff(y(x),x$n)-a*x*y(x):	# try(x) without homogeneous term since varparam explodes with reason.
ode[1582] := diff(y(x),x$n)+a*x^nu*diff(y(x),x)+a*nu*x^(nu-1)*y(x): ode[1583] := diff(y(x),x$n)+a*diff(y(x),x$(n-1))-f: ode[1584] := x*diff(y(x),x$n)-m*n*diff(y(x),x$(n-1))+a*x*y(x): # ode[7] := x * (a*diff(y(x),x) + b*diff(y(x),x$2) + c*diff(y(x),x$3) + e*d4y(x))*y(x)+Q(D)*y(x): ode[1585] := x * (a*diff(y(x),x) + b*diff(y(x),x$2) + c*diff(y(x),x$3) + e*d4y(x))*y(x): ode[1586] := x*diff(y(x),x$n)-((a*A[1]-A[0])*x+A[1])-sum(((a*A[v+1]-A[v])*x+A[v+1])*diff(y(x),x$v),v=1..(n-1)): ode[1587] := x^n*diff(y(x),x$(2*n))-a*y(x):
ode[1588] := x^(2*n)*diff(y(x),x$n)-a*y(x): ode[1589] := x^(n+1/2)*diff(y(x),x$(2*n+1))-a*y(x):
ode[1590] := (x-a)^n*(x-b)^n*diff(y(x),x$n)-c*y(x): # ode[13] := ?? n := 'n': #chapter 6 ode[1591] := diff(y(x),x$2)-y(x)^2:
ode[1592] := diff(y(x),x$2)-6*y(x)^2: ode[1593] := diff(y(x),x$2)-6*y(x)^2-x:
ode[1594] := diff(y(x),x$2)-6*y(x)^2+4*y(x): ode[1595] := diff(y(x),x$2)+a*y(x)^2+b*x+c:
ode[1596] := diff(y(x),x$2)-2*y(x)^3-y(x)*x+a: ode[1597] := diff(y(x),x$2)-a*y(x)^3:
ode[1598] := diff(y(x),x$2)-2*a^2*y(x)^3+2*a*b*x*y(x)-b: ode[1599] := diff(y(x),x$2)+d+b*x*y(x)+c*y(x)+a*y(x)^3:
ode[1600] := diff(y(x),x$2)+d+b*y(x)^2+c*y(x)+a*y(x)^3: ode[1601] := diff(y(x),x$2)+a*x^r*y(x)^n:
ode[1602] := diff(y(x),x$2)+(n+1)*a^(2*n)*y(x)^(2*n+1)-y(x): ode[1603] := diff(y(x),x$2)-(a*y(x)^2+b*x*y(x)+c*x^2+d*y(x)+e*x+k)^(-3/2):
ode[1604] := diff(y(x),x$2)-exp(y(x)): ode[1605] := diff(y(x),x$2)+a*exp(x)*y(x)^(1/2):
ode[1606] := diff(y(x),x$2)+exp(x)*sin(y(x)): ode[1607] := diff(y(x),x$2)+a*sin(y(x)):
ode[1608] := diff(y(x),x$2)+a^2*sin(y(x))-b*sin(x): ode[1609] := diff(y(x),x$2)+a^2*sin(y(x))-b*f(x):
ode[1610] := diff(y(x),x$2)-x^(-3/2)*h(y(x)*x^(-1/2)): ode[1611] := diff(y(x),x$2)-3*diff(y(x),x)-y(x)^2-2*y(x):
ode[1612] := diff(y(x),x$2)-7*diff(y(x),x)-y(x)^(3/2)+12*y(x): ode[1613] := diff(y(x),x$2)+5*a*diff(y(x),x)-6*y(x)^2+6*a^2*y(x):
ode[1614] := diff(y(x),x$2)+3*a*diff(y(x),x)-2*y(x)^3+2*a^2*y(x): ode[1615] := diff(y(x),x$2)-((3*n+4)/n)*diff(y(x),x)-(2*(n+1)*(n+2)/n^2)*y(x)*(y(x)^(n/(n+1))-1):
ode[1616] := diff(y(x),x$2)+a*diff(y(x),x)+b*y(x)^n+(a^2-1)/4*y(x): ode[1617] := diff(y(x),x$2)+a*diff(y(x),x)+b*x^r*y(x)^n:
ode[1618] := diff(y(x),x$2)+a*diff(y(x),x)+b*exp(y(x))-2*a: ode[1619] := diff(y(x),x$2)+a*diff(y(x),x)+f(x)*sin(y(x)):
ode[1620] := diff(y(x),x$2)+y(x)*diff(y(x),x)-y(x)^3: ode[1621] := diff(y(x),x$2)+y(x)*diff(y(x),x)-y(x)^3+a*y(x):
ode[1622] := diff(y(x),x$2)+(y(x)+3*a)*diff(y(x),x)-y(x)^3+a*y(x)^2+2*a^2*y(x): ode[1623] := diff(y(x),x$2)+(y(x)+3*f(x))*diff(y(x),x)-y(x)^3+y(x)^2*f(x)+y(x)*(diff(f(x),x)+2*f(x)^2):
ode[1624] := diff(y(x),x$2)+y(x)*diff(y(x),x)-y(x)^3-(diff(f(x),x)/f(x)+f(x))*(3*diff(y(x),x)+y(x)^2)+(a*f(x)^2+3*diff(f(x),x)+3*(diff(f(x),x)/f(x))^2-diff(f(x),x,x)/f(x))*y(x)+b*f(x)^3: ode[1625] := diff(y(x),x$2)+(y(x)-3*diff(f(x),x)/(2*f(x)))*diff(y(x),x)-y(x)^3-(diff(f(x),x)/(2*f(x)))*y(x)^2+(f(x)+(diff(f(x),x)/f(x))^2-diff(f(x),x,x))/(2*f(x))*y(x):
ode[1626] := diff(y(x),x$2)+2*y(x)*diff(y(x),x)+f(x)*diff(y(x),x)+diff(f(x),x)*y(x): ode[1627] := diff(y(x),x$2)+2*y(x)*diff(y(x),x)+f(x)*(diff(y(x),x)+y(x)^2)-g(x):
ode[1628] := diff(y(x),x$2)+3*y(x)*diff(y(x),x)+y(x)^3+f(x)*y(x)-g(x): ode[1629] := diff(y(x),x$2)+(3*y(x)+f(x))*diff(y(x),x)+y(x)^3+f(x)*y(x)^2:
ode[1630] := diff(y(x),x$2)-3*y(x)*diff(y(x),x)-(3*a*y(x)^2+4*a^2*y(x)+b): ode[1631] := diff(y(x),x$2)-(3*y(x)+f(x))*diff(y(x),x)+y(x)^3+f(x)*y(x)^2:
ode[1632] := diff(y(x),x$2)-2*a*y(x)*diff(y(x),x): ode[1633] := diff(y(x),x$2)+a*y(x)*diff(y(x),x)+b*y(x)^3:
ode[1634] := diff(y(x),x$2)+h(x,y(x))*diff(y(x),x)+j(x,y(x)): ode[1635] := diff(y(x),x$2)+a*diff(y(x),x)^2+b*y(x):
ode[1636] := diff(y(x),x$2)+a*diff(y(x),x)*abs(diff(y(x),x))+b*diff(y(x),x)+c*y(x): ode[1637] := diff(y(x),x$2)+a*diff(y(x),x)^2+b*diff(y(x),x)+c*y(x):
ode[1638] := diff(y(x),x$2)+a*diff(y(x),x)^2+b*sin(y(x)): ode[1639] := diff(y(x),x$2)+a*diff(y(x),x)*abs(diff(y(x),x))+b*sin(y(x)):
ode[1640] := diff(y(x),x$2)+a*y(x)*diff(y(x),x)^2+b*y(x): ode[1641] := diff(y(x),x$2)+h(y(x))*diff(y(x),x)^2+g(x)*diff(y(x),x):
# ode[52] := diff(y(x),x$2)-diff(h(y(x)),y(x))/h(y(x))*diff(y(x),x)^2+g(x)*diff(y(x),x)+f*h(y(x)): ode[1642] := diff(y(x),x$2)-j(y(x))/h(y(x))*diff(y(x),x)^2+g(x)*diff(y(x),x)+f(x)*h(y(x)):
# ode[53] := diff(y(x),x$2)+h(y(x))*diff(y(x),x)^2+f(x)*diff(y(x),x)+g(x)*j(y(x)): ode[1643] := (1-D(j)(y(x)))/j(y(x))*diff(y(x),x)^2+f(x)*diff(y(x),x)+diff(y(x),x$2)+g(x)*j(y(x)):
ode[1644] := diff(y(x),x$2)+h(y(x))*diff(y(x),x)^2+j(y(x))*diff(y(x),x)+k(y(x)): ode[1645] := diff(y(x),x$2)+(diff(y(x),x)^2+1)*(h(x,y(x))*diff(y(x),x)+j(x,y(x))):
ode[1646] := diff(y(x),x$2)+a*y(x)*(diff(y(x),x)^2+1)^2: ode[1647] := diff(y(x),x$2)-a*(x*diff(y(x),x)-y(x))^r:
ode[1648] := diff(y(x),x$2)-k*x^a*y(x)^b*diff(y(x),x)^c: ode[1649] := diff(y(x),x$2)+(diff(y(x),x)-y(x)/x)^a*h(x,y(x)):
ode[1650] := diff(y(x),x$2)-a*sqrt(1+diff(y(x),x)^2): ode[1651] := diff(y(x),x$2)-a*sqrt(1+diff(y(x),x)^2)-b:
ode[1652] := diff(y(x),x$2)-a*sqrt(b*y(x)^2+diff(y(x),x)^2): ode[1653] := diff(y(x),x$2)-a*(1+diff(y(x),x)^2)^(3/2):
ode[1654] := diff(y(x),x$2)-2*a*x*(1+diff(y(x),x)^2)^(3/2): ode[1655] := diff(y(x),x$2)-a*y(x)*(1+diff(y(x),x)^2)^(3/2):
ode[1656] := diff(y(x),x$2)-a*(c+b*x+y(x))*(1+diff(y(x),x)^2)^(3/2): ode[1657] := diff(y(x),x$2)+y(x)^3*diff(y(x),x)-y(x)*diff(y(x),x)*sqrt(y(x)^4+4*diff(y(x),x)):
ode[1658] := diff(y(x),x$2)-h(diff(y(x),x),a*x+b*y(x)): ode[1659] := diff(y(x),x$2)-y(x)*h(x,diff(y(x),x)/y(x)):
ode[1660] := diff(y(x),x$2)-x^(n-2)*h(y(x)/x^n,diff(y(x),x)/x^(n-1)): ode[1661] := 8*diff(y(x),x$2)+9*diff(y(x),x)^4:
ode[1662] := a*diff(y(x),x$2)+h(diff(y(x),x))+c*y(x): ode[1663] := x*diff(y(x),x$2)+2*diff(y(x),x)-x*y(x)^n:
ode[1664] := x*diff(y(x),x$2)+2*diff(y(x),x)+a*x^m*y(x)^n: ode[1665] := x*diff(y(x),x$2)+2*diff(y(x),x)+x*exp(y(x)):
ode[1666] := x*diff(y(x),x$2)+a*diff(y(x),x)+b*x*exp(y(x)): ode[1667] := x*diff(y(x),x$2)+a*diff(y(x),x)+b*x^(5-2*a)*exp(y(x)):
ode[1668] := x*diff(y(x),x$2)-(1-y(x))*diff(y(x),x): ode[1669] := x*diff(y(x),x$2)-x^2*diff(y(x),x)^2+2*diff(y(x),x)+y(x)^2:
ode[1670] := x*diff(y(x),x$2)+a*(x*diff(y(x),x)-y(x))^2-b: ode[1671] := 2*x*diff(y(x),x$2)+diff(y(x),x)^3+diff(y(x),x):
ode[1672] := x^2*diff(y(x),x$2)-a*(y(x)^n-y(x)): ode[1673] := x^2*diff(y(x),x$2)+a*(exp(y(x))-1):
ode[1674] := x^2*diff(y(x),x$2)-(2*a+b-1)*x*diff(y(x),x)+(c^2*b^2*x^(2*b)+a*(a+b))*y(x): ode[1675] := x^2*diff(y(x),x$2)+(1+a)*x*diff(y(x),x)-x^k*h(x^k*y(x),x*diff(y(x),x)+k*y(x)):
ode[1676] := x^2*diff(y(x),x$2)+a*(x*diff(y(x),x)-y(x))^2-b*x^2: ode[1677] := x^2*diff(y(x),x$2)+a*y(x)*diff(y(x),x)^2+b*x:
ode[1678] := x^2*diff(y(x),x$2)-sqrt(a*x^2*diff(y(x),x)^2+b*y(x)^2): ode[1679] := (1+x^2)*diff(y(x),x$2)+diff(y(x),x)^2+1:
ode[1680] := 4*x^2*diff(y(x),x$2)-x^4*diff(y(x),x)^2+4*y(x): ode[1681] := 9*x^2*diff(y(x),x$2)+a*y(x)^3+2*y(x):
ode[1682] := x^3*(diff(y(x),x$2)+y(x)*diff(y(x),x)-y(x)^3)+12*x*y(x)+24: ode[1683] := x^3*diff(y(x),x$2)-a*(x*diff(y(x),x)-y(x))^2:
ode[1684] := 2*x^3*diff(y(x),x$2)+x^2*(9+2*x*y(x))*diff(y(x),x)+b+x*y(x)*(a+3*x*y(x)-2*x^2*y(x)^2): ode[1685] := 2*(-x^k+4*x^3)*(diff(y(x),x$2)+y(x)*diff(y(x),x)-y(x)^3)-(k*x^(k-1)-12*x^2)*(3*diff(y(x),x)+y(x)^2)+a*x*y(x)+b:
ode[1686] := x^4*diff(y(x),x$2)+a^2*y(x)^n: ode[1687] := x^4*diff(y(x),x$2)-x*(x^2+2*y(x))*diff(y(x),x)+4*y(x)^2:
ode[1688] := x^4*diff(y(x),x$2)-x^2*(x+diff(y(x),x))*diff(y(x),x)+4*y(x)^2: ode[1689] := x^4*diff(y(x),x$2)+(x*diff(y(x),x)-y(x))^3:
ode[1690] := diff(y(x),x$2)*x^(1/2)-y(x)^(3/2): ode[1691] := (c+b*x+a*x^2)^(3/2)*diff(y(x),x$2)-F(y(x)/(c+b*x+a*x^2)^(1/2)):
ode[1692] := x^(n/(n+1))*diff(y(x),x$2)-y(x)^((2*n+1)/(n+1)): ode[1693] := f(x)^2*diff(y(x),x$2)+f(x)*diff(f(x),x)*diff(y(x),x)-h(y(x),f(x)*diff(y(x),x)):
ode[1694] := diff(y(x),x$2)*y(x)-a: ode[1695] := diff(y(x),x$2)*y(x)-a*x:
ode[1696] := diff(y(x),x$2)*y(x)-a*x^2: ode[1697] := diff(y(x),x$2)*y(x)+diff(y(x),x)^2-a:
ode[1698] := diff(y(x),x$2)*y(x)+y(x)^2-a*x-b: ode[1699] := diff(y(x),x$2)*y(x)+diff(y(x),x)^2-diff(y(x),x):
ode[1700] := diff(y(x),x$2)*y(x)-diff(y(x),x)^2+1: ode[1701] := diff(y(x),x$2)*y(x)-diff(y(x),x)^2-1:
ode[1702] := diff(y(x),x$2)*y(x)-diff(y(x),x)^2+exp(x)*y(x)*(c*y(x)^2+d)+exp(2*x)*(b+a*y(x)^4): ode[1703] := diff(y(x),x$2)*y(x)-diff(y(x),x)^2-y(x)^2*ln(y(x)):
ode[1704] := diff(y(x),x$2)*y(x)-diff(y(x),x)^2-diff(y(x),x)+f(x)*y(x)^3+y(x)^2*diff( diff(f(x),x)/f(x),x): ode[1705] := diff(y(x),x$2)*y(x)-diff(y(x),x)^2+f(x)*diff(y(x),x)-diff(f(x),x)*y(x)-y(x)^3:
ode[1706] := diff(y(x),x$2)*y(x)-diff(y(x),x)^2+diff(f(x),x)*diff(y(x),x)-diff(f(x),x,x)*y(x)+f(x)*y(x)^3-y(x)^4: ode[1707] := diff(y(x),x$2)*y(x)-diff(y(x),x)^2+a*y(x)*diff(y(x),x)+b*y(x)^2:
ode[1708] := diff(y(x),x$2)*y(x)-diff(y(x),x)^2+a*y(x)*diff(y(x),x)-2*a*y(x)^2+b*y(x)^3: ode[1709] := diff(y(x),x$2)*y(x)-diff(y(x),x)^2-(a*y(x)-1)*diff(y(x),x)+2*a^2*y(x)^2-2*b^2*y(x)^3+a*y(x):
ode[1710] := diff(y(x),x$2)*y(x)-diff(y(x),x)^2+(a*y(x)-1)*diff(y(x),x)-y(x)*(y(x)+1)*(b^2*y(x)^2-a^2): ode[1711] := diff(y(x),x$2)*y(x)-diff(y(x),x)^2+(tan(x)+cot(x))*y(x)*diff(y(x),x)+(cos(x)^2-n^2*cot(x)^2)*y(x)^2*ln(y(x)):
ode[1712] := diff(y(x),x$2)*y(x)-diff(y(x),x)^2-f(x)*y(x)*diff(y(x),x)-g(x)*y(x)^2: ode[1713] := diff(y(x),x$2)*y(x)-diff(y(x),x)^2+(g(x)+f(x)*y(x)^2)*diff(y(x),x)-y(x)*(diff(g(x),x)-diff(f(x),x)*y(x)^2):
ode[1714] := diff(y(x),x$2)*y(x)-3*diff(y(x),x)^2+3*y(x)*diff(y(x),x)-y(x)^2: ode[1715] := diff(y(x),x$2)*y(x)-a*diff(y(x),x)^2:
ode[1716] := diff(y(x),x$2)*y(x)+a*(diff(y(x),x)^2+1): ode[1717] := diff(y(x),x$2)*y(x)+a*diff(y(x),x)^2+b*y(x)^3:
ode[1718] := diff(y(x),x$2)*y(x)+a*diff(y(x),x)^2+b*y(x)*diff(y(x),x)+c*y(x)^2+d*y(x)^(-a+1): ode[1719] := diff(y(x),x$2)*y(x)+a*diff(y(x),x)^2+f(x)*y(x)*diff(y(x),x)+g(x)*y(x)^2:
ode[1720] := diff(y(x),x$2)*y(x)+a*diff(y(x),x)^2+b*y(x)^2*diff(y(x),x)+c*y(x)^4: ode[1721] := diff(y(x),x$2)*y(x)-((a-1)/a)*diff(y(x),x)^2-f(x)*y(x)^2*diff(y(x),x)+(a/(a+2)^2)*f(x)^2*y(x)^4-(a/(a+2))*diff(f(x),x)*y(x)^3:
ode[1722] := diff(y(x),x$2)*y(x)-(diff(y(x),x)^2+1)-2*a*y(x)*(diff(y(x),x)^2+1)^(3/2): ode[1723] := diff(y(x),x$2)*(x+y(x))+diff(y(x),x)^2-diff(y(x),x):
ode[1724] := diff(y(x),x$2)*(x-y(x))+2*diff(y(x),x)*(1+diff(y(x),x)): ode[1725] := diff(y(x),x$2)*(x-y(x))-(1+diff(y(x),x))*(1+diff(y(x),x)^2):
ode[1726] := diff(y(x),x$2)*(x-y(x))-h(diff(y(x),x)): ode[1727] := 2*y(x)*diff(y(x),x$2)+diff(y(x),x)^2+1:
ode[1728] := 2*y(x)*diff(y(x),x$2)-diff(y(x),x)^2+a: ode[1729] := 2*y(x)*diff(y(x),x$2)-diff(y(x),x)^2+f(x)*y(x)^2+a:
ode[1730] := 2*y(x)*diff(y(x),x$2)-diff(y(x),x)^2-8*y(x)^3: ode[1731] := 2*y(x)*diff(y(x),x$2)-diff(y(x),x)^2-8*y(x)^3-4*y(x)^2:
ode[1732] := 2*y(x)*diff(y(x),x$2)-diff(y(x),x)^2-4*(x+2*y(x))*y(x)^2: ode[1733] := 2*y(x)*diff(y(x),x$2)-diff(y(x),x)^2+(b+a*y(x))*y(x)^2:
ode[1734] := 2*y(x)*diff(y(x),x$2)-diff(y(x),x)^2+1+2*x*y(x)^2+a*y(x)^3: ode[1735] := 2*y(x)*diff(y(x),x$2)-diff(y(x),x)^2+(a*y(x)+b*x)*y(x)^2:
ode[1736] := 2*y(x)*diff(y(x),x$2)-diff(y(x),x)^2-3*y(x)^4: ode[1737] := 2*y(x)*diff(y(x),x$2)-diff(y(x),x)^2+b-4*(x^2+a)*y(x)^2-8*x*y(x)^3-3*y(x)^4:
ode[1738] := 2*y(x)*diff(y(x),x$2)-diff(y(x),x)^2+3*f(x)*y(x)*diff(y(x),x)+2*(diff(f(x),x)+f(x)^2)*y(x)^2-8*y(x)^3: ode[1739] := 2*y(x)*diff(y(x),x$2)-diff(y(x),x)^2+4*y(x)^2*diff(y(x),x)+1+f(x)*y(x)^2+y(x)^4:
ode[1740] := 2*y(x)*diff(y(x),x$2)-3*diff(y(x),x)^2: ode[1741] := 2*y(x)*diff(y(x),x$2)-3*diff(y(x),x)^2-4*y(x)^2:
ode[1742] := 2*y(x)*diff(y(x),x$2)-3*diff(y(x),x)^2+f(x)*y(x)^2: ode[1743] := 2*y(x)*diff(y(x),x$2)-6*diff(y(x),x)^2+(1+a*y(x)^3)*y(x)^2:
ode[1744] := 2*y(x)*diff(y(x),x$2)-diff(y(x),x)^2*(1+diff(y(x),x)^2): ode[1745] := 2*(y(x)-a)*diff(y(x),x$2)+(1+diff(y(x),x)^2):
ode[1746] := 3*y(x)*diff(y(x),x$2)-2*diff(y(x),x)^2-a*x^2-b*x-c: ode[1747] := 3*y(x)*diff(y(x),x$2)-5*diff(y(x),x)^2:
ode[1748] := 4*y(x)*diff(y(x),x$2)-3*diff(y(x),x)^2+4*y(x): ode[1749] := 4*y(x)*diff(y(x),x$2)-3*diff(y(x),x)^2-12*y(x)^3:
ode[1750] := 4*y(x)*diff(y(x),x$2)-3*diff(y(x),x)^2+a*y(x)^3+b*y(x)^2+c*y(x): ode[1751] := 4*y(x)*diff(y(x),x$2)-3*diff(y(x),x)^2+(6*y(x)^2-2*(diff(f(x),x)/f(x))*y(x))*diff(y(x),x)+y(x)^4-2*(diff(y(x),x)/y(x))*y(x)^3+g(x)*y(x)^2+f(x)*y(x):
ode[1752] := 4*y(x)*diff(y(x),x$2)-5*diff(y(x),x)^2+a*y(x)^2: ode[1753] := 12*y(x)*diff(y(x),x$2)-15*diff(y(x),x)^2+8*y(x)^3:
ode[1754] := n*y(x)*diff(y(x),x$2)-(n-1)*diff(y(x),x)^2: ode[1755] := a*y(x)*diff(y(x),x$2)+b*diff(y(x),x)^2+c4*y(x)^4+c3*y(x)^3+c2*y(x)^2+c1*y(x)+c0:
ode[1756] := a*y(x)*diff(y(x),x$2)+b*diff(y(x),x)^2-y(x)*diff(y(x),x)/sqrt(x^2+c^2): ode[1757] := a*y(x)*diff(y(x),x$2)-(a-1)*diff(y(x),x)^2+(a+2)*f(x)*y(x)^2*diff(y(x),x)+f(x)^2*y(x)^4+a*diff(f(x),x)*y(x)^3:
ode[1758] := (a*y(x)+b)*diff(y(x),x$2)+c*diff(y(x),x)^2: ode[1759] := x*y(x)*diff(y(x),x$2)+x*diff(y(x),x)^2-y(x)*diff(y(x),x):
ode[1760] := x*y(x)*diff(y(x),x$2)+x*diff(y(x),x)^2+a*y(x)*diff(y(x),x)+f(x): ode[1761] := x*y(x)*diff(y(x),x$2)-x*diff(y(x),x)^2+y(x)*diff(y(x),x)+x*(d+a*y(x)^4)+y(x)*(c+b*y(x)^2):
ode[1762] := x*y(x)*diff(y(x),x$2)-x*diff(y(x),x)^2+a*y(x)*diff(y(x),x)+b*x*y(x)^3: ode[1763] := x*y(x)*diff(y(x),x$2)+2*x*diff(y(x),x)^2+a*y(x)*diff(y(x),x):
ode[1764] := x*y(x)*diff(y(x),x$2)-2*x*diff(y(x),x)^2+(1+y(x))*diff(y(x),x): ode[1765] := x*y(x)*diff(y(x),x$2)-2*x*diff(y(x),x)^2+a*y(x)*diff(y(x),x):
ode[1766] := x*y(x)*diff(y(x),x$2)-4*x*diff(y(x),x)^2+4*y(x)*diff(y(x),x): ode[1767] := x*y(x)*diff(y(x),x$2)+(a*x/sqrt(b^2-x^2)-x)*diff(y(x),x)^2-y(x)*diff(y(x),x):
ode[1768] := x*(x+y(x))*diff(y(x),x$2)+x*diff(y(x),x)^2+(x-y(x))*diff(y(x),x)-y(x): ode[1769] := 2*x*y(x)*diff(y(x),x$2)-x*diff(y(x),x)^2+y(x)*diff(y(x),x):
ode[1770] := x^2*(y(x)-1)*diff(y(x),x$2)-2*x^2*diff(y(x),x)^2-2*x*(y(x)-1)*diff(y(x),x)-2*y(x)*(y(x)-1)^2: ode[1771] := x^2*(x+y(x))*diff(y(x),x$2)-(x*diff(y(x),x)-y(x))^2:
ode[1772] := x^2*(x-y(x))*diff(y(x),x$2)+a*(x*diff(y(x),x)-y(x))^2: ode[1773] := 2*x^2*y(x)*diff(y(x),x$2)-x^2*(diff(y(x),x)^2+1)+y(x)^2:
ode[1774] := a*x^2*y(x)*diff(y(x),x$2)+b*x^2*diff(y(x),x)^2+c*x*y(x)*diff(y(x),x)+d*y(x)^2: ode[1775] := x*(1+x)^2*y(x)*diff(y(x),x$2)-x*(1+x)^2*diff(y(x),x)^2+2*(1+x)^2*y(x)*diff(y(x),x)-a*(2+x)*y(x)^2:
ode[1776] := 8*(1-x^3)*y(x)*diff(y(x),x$2)-4*(1-x^3)*diff(y(x),x)^2-12*x^2*y(x)*diff(y(x),x)+3*x*y(x)^2: ode[1777] := f0(x)*y(x)*diff(y(x),x$2)+f1(x)*diff(y(x),x)^2+f2(x)*y(x)*diff(y(x),x)+f3(x)*y(x)^2:
ode[1778] := y(x)^2*diff(y(x),x$2)-a: ode[1779] := y(x)^2*diff(y(x),x$2)+y(x)*diff(y(x),x)^2+a*x:
ode[1780] := y(x)^2*diff(y(x),x$2)+y(x)*diff(y(x),x)^2-a*x-b: ode[1781] := (1+y(x)^2)*diff(y(x),x$2)+(1-2*y(x))*diff(y(x),x)^2:
ode[1782] := (1+y(x)^2)*diff(y(x),x$2)-3*y(x)*diff(y(x),x)^2: ode[1783] := (x+y(x)^2)*diff(y(x),x$2)-2*(x-y(x)^2)*diff(y(x),x)^3+diff(y(x),x)*(1+4*y(x)*diff(y(x),x)):
ode[1784] := (x^2+y(x)^2)*diff(y(x),x$2)-(1+diff(y(x),x)^2)*(x*diff(y(x),x)-y(x)): ode[1785] := (x^2+y(x)^2)*diff(y(x),x$2)-2*(1+diff(y(x),x)^2)*(x*diff(y(x),x)-y(x)):
ode[1786] := 2*y(x)*(1-y(x))*diff(y(x),x$2)-(1-2*y(x))*diff(y(x),x)^2+y(x)*(1-y(x))*diff(y(x),x)*f(x): ode[1787] := 2*y(x)*(1-y(x))*diff(y(x),x$2)-(1-3*y(x))*diff(y(x),x)^2+h(y(x)):
ode[1788] := 2*y(x)*(y(x)-1)*diff(y(x),x$2)-(3*y(x)-1)*diff(y(x),x)^2+4*y(x)*diff(y(x),x)*(f(x)*y(x)+g(x))+4*y(x)^2*(y(x)-1)*(g(x)^2-f(x)^2-diff(g(x),x)-diff(f(x),x)): ode[1789] := -2*y(x)*(1-y(x))*diff(y(x),x$2)+(1-3*y(x))*diff(y(x),x)^2-4*y(x)*(f(x)*y(x)+g(x))*diff(y(x),x)+(1-y(x))^3*(f0(x)^2*y(x)^2-f1(x)^2)+4*y(x)^2*(1-y(x))*(f(x)^2-g(x)^2-diff(g(x),x)-diff(f(x),x)):
ode[1790] := 3*y(x)*(1-y(x))*diff(y(x),x$2)-2*(1-2*y(x))*diff(y(x),x)^2-h(y(x)): ode[1791] := (1-y(x))*diff(y(x),x$2)-3*(1-2*y(x))*diff(y(x),x)^2-h(y(x)):
ode[1792] := a*y(x)*(y(x)-1)*diff(y(x),x$2)+(b*y(x)+c)*diff(y(x),x)^2+h(y(x)): ode[1793] := a*y(x)*(y(x)-1)*diff(y(x),x$2)-(a-1)*(2*y(x)-1)*diff(y(x),x)^2+f*y(x)*(y(x)-1)*diff(y(x),x):
ode[1794] := a*b*y(x)*(y(x)-1)*diff(y(x),x$2)-((2*a*b-a-b)*y(x)+(1-a)*b)*diff(y(x),x)^2+f*y(x)*(y(x)-1)*diff(y(x),x): ode[1795] := x*y(x)^2*diff(y(x),x$2)-a:
ode[1796] := (a^2-x^2)*(a^2-y(x)^2)*diff(y(x),x$2)+(a^2-x^2)*y(x)*diff(y(x),x)^2-x*(a^2-y(x)^2)*diff(y(x),x): ode[1797] := 2*x^2*y(x)*(y(x)-1)*diff(y(x),x$2)-x^2*(3*y(x)-1)*diff(y(x),x)^2+2*x*y(x)*(y(x)-1)*diff(y(x),x)+(a*y(x)^2+b)*(y(x)-1)^3+c*x*y(x)^2*(y(x)-1)+d*x^2*y(x)^2*(1+y(x)):
ode[1798] := x^3*y(x)^2*diff(y(x),x$2)+(x+y(x))*(x*diff(y(x),x)-y(x))^3: ode[1799] := y(x)^3*diff(y(x),x$2)-a:
ode[1800] := y(x)*(1+y(x)^2)*diff(y(x),x$2)+(1-3*y(x)^2)*diff(y(x),x)^2: ode[1801] := 2*y(x)^3*diff(y(x),x$2)+y(x)^4-a^2*x*y(x)^2-1:
ode[1802] := 2*y(x)^3*diff(y(x),x$2)+y(x)^2*diff(y(x),x)^2-a*x^2-b*x-c: ode[1803] := 2*(c-y(x))*(b-y(x))*(a-y(x))*diff(y(x),x$2)+((a-y(x))*(b-y(x))+(c-y(x))*(a-y(x))+(b-y(x))*(c-y(x)))*diff(y(x),x)^2-(a0*(c-y(x))^2*(b-y(x))^2*(a-y(x))^2+a1*(b-y(x))^2*(c-y(x))^2+a2*(c-y(x))^2*(a-y(x))^2+a3*(b-y(x))^2*(a-y(x))^2):
ode[1804] := (4*y(x)^3-a*y(x)-b)*diff(y(x),x$2)-(6*y(x)^2-a/2)*diff(y(x),x)^2: ode[1805] := (4*y(x)^3-a*y(x)-b)*(diff(y(x),x$2)+f*diff(y(x),x))-(6*y(x)^2-a/2)*diff(y(x),x)^2:
ode[1806] := -2*x*y(x)*(1-x)*(1-y(x))*(x-y(x))*diff(y(x),x$2)+x*(1-x)*(x-2*x*y(x)-2*y(x)+3*y(x)^2)*diff(y(x),x)^2+2*y(x)*(1-y(x))*(x^2+y(x)-2*x*y(x))*diff(y(x),x)-y(x)^2*(1-y(x))^2-f*(y(x)*(y(x)-1)*(y(x)-x))^(3/2): ode[1807] := 2*x^2*y(x)*(1-x)^2*(1-y(x))*(x-y(x))*diff(y(x),x$2)-x^2*(1-x)^2*(x-2*x*y(x)-2*y(x)+3*y(x)^2)*diff(y(x),x)^2-2*x*y(x)*(1-x)*(1-y(x))*(x^2+y(x)-2*x*y(x))*diff(y(x),x)+b*x*(1-y(x))^2*(x-y(x))^2-c*(1-x)*y(x)^2*(x-y(x))^2-d*x*y(x)^2*(1-x)*(1-y(x))^2+a*y(x)^2*(x-y(x))^2*(1-y(x))^2:
ode[1808] := (y(x)^2-1)*(a^2*y(x)^2-1)*diff(y(x),x$2)+b*sqrt((1-y(x)^2)*(1-a^2*y(x)^2))*diff(y(x),x)^2+(1+a^2-2*a^2*y(x)^2)*y(x)*diff(y(x),x)^2: ode[1809] := (c+2*b*x+a*x^2+y(x)^2)^2*diff(y(x),x$2)+d*y(x):
ode[1810] := sqrt(y(x))*diff(y(x),x$2)-a: ode[1811] := sqrt(y(x)^2+x^2)*diff(y(x),x$2)-a*(diff(y(x),x)^2+1)^(3/2):
ode[1812] := y(x)*(1-ln(y(x)))*diff(y(x),x$2)+(1+ln(y(x)))*diff(y(x),x)^2: ode[1813] := (b+a*sin(y(x))^2)*diff(y(x),x$2)+a*diff(y(x),x)^2*cos(y(x))*sin(y(x))+A*y(x)*(c+a*sin(y(x))^2):
ode[1814] := h(y(x))*diff(y(x),x$2)+a*(D(h)(y(x)))*diff(y(x),x)^2+j(y(x)): ode[1815] := h(y(x))*diff(y(x),x$2)-(D(h)(y(x)))*diff(y(x),x)^2-h(y(x))^2*j(x,diff(y(x),x)/h(y(x))):
ode[1816] := diff(y(x),x)*diff(y(x),x$2)-x^2*y(x)*diff(y(x),x)-x*y(x)^2: ode[1817] := (x*diff(y(x),x)-y(x))*diff(y(x),x$2)+4*diff(y(x),x)^2:
ode[1818] := (x*diff(y(x),x)-y(x))*diff(y(x),x$2)-(1+diff(y(x),x)^2)^2: ode[1819] := a*x^3*diff(y(x),x)*diff(y(x),x$2)+b*y(x)^2:
ode[1820] := (f1*diff(y(x),x)+f2*y(x))*diff(y(x),x$2)+f3*diff(y(x),x)^2+f4(x)*y(x)*diff(y(x),x)+f5(x)*y(x)^2: ode[1821] := (2*y(x)^2*diff(y(x),x)+x^2)*diff(y(x),x$2)+2*y(x)*diff(y(x),x)^3+3*x*diff(y(x),x)+y(x):
ode[1822] := (y(x)^2+diff(y(x),x)^2)*diff(y(x),x$2)+y(x)^3: ode[1823] := (diff(y(x),x)^2+a*(x*diff(y(x),x)-y(x)))*diff(y(x),x$2)-b:
ode[1824] := (a*sqrt(1+diff(y(x),x)^2)-x*diff(y(x),x))*diff(y(x),x$2)-diff(y(x),x)^2-1: ode[1825] := h(diff(y(x),x))*diff(y(x),x$2)+j(y(x))*diff(y(x),x)+f:
ode[1826] :=  diff(y(x),x$2)^2-a*y(x)-b: ode[1827] := a^2*diff(y(x),x$2)^2-2*a*x*diff(y(x),x$2)+diff(y(x),x): ode[1828] := 2*(1+x^2)*diff(y(x),x$2)^2-x*diff(y(x),x$2)*(x+4*diff(y(x),x))+2*(x+diff(y(x),x))*diff(y(x),x)-2*y(x): ode[1829] := 3*x^2*diff(y(x),x$2)^2-2*(3*x*diff(y(x),x)+y(x))*diff(y(x),x$2)+4*diff(y(x),x)^2: ode[1830] := x^2*(2-9*x)*diff(y(x),x$2)^2-6*x*(1-6*x)*diff(y(x),x)*diff(y(x),x$2)+6*y(x)*diff(y(x),x$2)-36*x*diff(y(x),x)^2:
ode[1831] := F[1,1](x)*diff(y(x),x)^2+((F[2,1](x)+F[1,2](x))*diff(y(x),x$2) +y(x)*(F[1,0](x)+F[0,1](x)))*diff(y(x),x)+F[2,2](x)*diff(y(x),x$2)^2+y(x)*(F[2,0](x)+F[0,2](x))*diff(y(x),x$2)+F[0,0](x)*y(x)^2: ode[1832] := y(x)*diff(y(x),x$2)^2-a*exp(2*x):
ode[1833] :=	(a^2*y(x)^2-b^2)*diff(y(x),x$2)^2-2*a^2*y(x)*diff(y(x),x)^2*diff(y(x),x$2)+(a^2*diff(y(x),x)^2-1)*diff(y(x),x)^2:
ode[1834] :=	(y(x)^2-x^2*diff(y(x),x)^2+x^2*y(x)*diff(y(x),x$2))^2-4*x*y(x)*(x*diff(y(x),x)-y(x))^3: ode[1835] := (2*y(x)*diff(y(x),x$2)-diff(y(x),x)^2)^3+32*diff(y(x),x$2)*(x*diff(y(x),x$2)-diff(y(x),x))^3:
ode[1836] :=	sqrt(a*diff(y(x),x$2)^2+b*diff(y(x),x)^2)+c*y(x)*diff(y(x),x$2)+d*diff(y(x),x)^2:
ode[1837] := diff(y(x),x$3)-a^2*(diff(y(x),x)^5+2*diff(y(x),x)^3+diff(y(x),x)): #chapter 7 ode[1838] := diff(y(x),x$3)+y(x)*diff(y(x),x$2)-diff(y(x),x)^2+1: ode[1839] := diff(y(x),x$3)-y(x)*diff(y(x),x$2)+diff(y(x),x)^2: ode[1840] := diff(y(x),x$3)+a*y(x)*diff(y(x),x$2): ode[1841] := x^2*diff(y(x),x$3)+x*diff(y(x),x$2)+(2*x*y(x)-1)*diff(y(x),x)+y(x)^2-f(x): ode[1842] := x^2*diff(y(x),x$3)+x*(y(x)-1)*diff(y(x),x$2)+x*diff(y(x),x)^2+(1-y(x))*diff(y(x),x): ode[1843] := y(x)*diff(y(x),x$3)-diff(y(x),x)*diff(y(x),x$2)+y(x)^3*diff(y(x),x): ode[1844] := 4*y(x)^2*diff(y(x),x$3)-18*y(x)*diff(y(x),x)*diff(y(x),x$2)+15*diff(y(x),x)^3: ode[1845] := 9*y(x)^2*diff(y(x),x$3)-45*y(x)*diff(y(x),x)*diff(y(x),x$2)+40*diff(y(x),x)^3: ode[1846] := 2*diff(y(x),x)*diff(y(x),x$3)-3*diff(y(x),x)^2:
ode[1847] := (diff(y(x),x)^2+1)*diff(y(x),x$3)-3*diff(y(x),x)*diff(y(x),x$2)^2:
ode[1848] := (diff(y(x),x)^2+1)*diff(y(x),x$3)-(3*diff(y(x),x)+a)*diff(y(x),x$2)^2:
ode[1849] := diff(y(x),x$2)*diff(y(x),x$3)-a*sqrt(b^2*diff(y(x),x$2)^2+1): ode[1850] := diff(y(x),x)*d4y(x)-diff(y(x),x$2)*diff(y(x),x$3)+diff(y(x),x)^3*diff(y(x),x$3):
ode[1851] := diff(y(x),x)*diff(f(x)*diff(y(x),x),x$3)-diff(y(x),x$2)*diff(f*diff(y(x),x),x$2)+diff(y(x),x)^3*diff((f(x)*diff(y(x),x)),x)+2*q(x)*diff(y(x),x)^2*sin(y(x))+(q(x)*diff(y(x),x$2)-diff(q(x),x)*diff(y(x),x))*cos(y(x)):
ode[1852] := 3*diff(y(x),x$2)*d4y(x)-5*diff(y(x),x$3)^2:
ode[1853] := 9*diff(y(x),x$2)^2*diff(y(x),x$5)-45*diff(y(x),x$2)*diff(y(x),x$3)*d4y(x)+40*diff(y(x),x$3): n='n'; ode[1854] := diff(y(x),x$n)-f(diff(y(x),x$(n-1))): ode[1855] := diff(y(x),x$n)=f(diff(y(x),x$(n-2))): #chapter 8 ode[1856] := {diff(x(t),t)=a*x(t),diff(y(t),t)=b},{x(t),y(t)}: ode[1857] := {diff(x(t),t)=a*y(t),diff(y(t),t)=-a*x(t)},{x(t),y(t)}: ode[1858] := {diff(x(t),t)=a*y(t),diff(y(t),t)=b*x(t)},{x(t),y(t)}: ode[1859] := {diff(x(t),t)=a*x(t)-y(t),diff(y(t),t)=x(t)+a*y(t)},{x(t),y(t)}: ode[1860] := {diff(x(t),t)=a*x(t)+b*y(t),diff(y(t),t)=c*x(t)+b*y(t)},{x(t),y(t)}: ode[1861] := {a*diff(x(t),t)+b*diff(y(t),t)=alpha*x(t)+beta*y(t),b*diff(x(t),t)-a*diff(y(t),t)=beta*x(t)-alpha*y(t)},{x(t),y(t)}: ode[1862] := {diff(x(t),t)=-y(t),diff(y(t),t)=2*x(t)+2*y(t)},{x(t),y(t)}: ode[1863] := {diff(x(t),t)+3*x(t)+4*y(t)=0,diff(y(t),t)+2*x(t)+5*y(t)=0},{x(t),y(t)}: ode[1864] := {diff(x(t),t)=-5*x(t)-2*y(t),diff(y(t),t)=x(t)-7*y(t)},{x(t),y(t)}: ode[1865] := {diff(x(t),t)=a1*x(t)+b1*y(t)+c1,diff(y(t),t)=a2*x(t)+b2*y(t)+c2},{x(t),y(t)}: ode[1866] := {diff(x(t),t)+2*y(t)=3*t,diff(y(t),t)-2*x(t)=4},{x(t),y(t)}: ode[1867] := {diff(x(t),t)+y(t)-t^2+6*t+1,diff(y(t),t)-x(t)=-3*t^2+3*t+1},{x(t),y(t)}: ode[1868] := {diff(x(t),t)+3*x(t)-y(t)=exp(2*t),diff(y(t),t)+x(t)+5*y(t)=exp(t)},{x(t),y(t)}: ode[1869] := {diff(x(t),t)+diff(y(t),t)+2*x(t)+y(t)=exp(2*t)+t,diff(x(t),t)+diff(y(t),t)-x(t)+3*y(t)=exp(t)-1},{x(t),y(t)}: ode[1870] := {diff(x(t),t)+diff(y(t),t)-y(t)=exp(t),2*diff(x(t),t)+diff(y(t),t)+2*y(t)=cos(t)},{x(t),y(t)}: ode[1871] := {4*diff(x(t),t)+9*diff(y(t),t)+2*x(t)+31*y(t)=exp(t),3*diff(x(t),t)+7*diff(y(t),t)+x(t)+24*y(t)=3},{x(t),y(t)}: ode[1872] := {4*diff(x(t),t)+9*diff(y(t),t)+11*x(t)+31*y(t)=exp(t),3*diff(x(t),t)+7*diff(y(t),t)+8*x(t)+24*y(t)=exp(2*t)},{x(t),y(t)}: ode[1873] := {4*diff(x(t),t)+9*diff(y(t),t)+44*x(t)+49*y(t)=t,3*diff(x(t),t)+7*diff(y(t),t)+34*x(t)+38*y(t)=exp(t)},{x(t),y(t)}: ode[1874] := {diff(x(t),t)=x(t)*f(t)+y(t)*g(t),diff(y(t),t)=-x(t)*g(t)+y(t)*f(t)},{x(t),y(t)}: ode[1875] := {diff(x(t),t)+(a*x(t)+b*y(t))*f(t)=g(t),diff(y(t),t)+(c*x(t)+d*y(t))*f(t)=h(t)},{x(t),y(t)}: ode[1876] := {diff(x(t),t)=x(t)*cos(t),diff(y(t),t)=x(t)*exp(-sin(t))},{x(t),y(t)}: ode[1877] := {t*diff(x(t),t)+y(t)=0,t*diff(y(t),t)+x(t)=0},{x(t),y(t)}: ode[1878] := {t*diff(x(t),t)+2*x(t)=t,t*diff(y(t),t)-(t+2)*x(t)-t*y(t)=-t},{x(t),y(t)}: ode[1879] := {t*diff(x(t),t)+2*(x(t)-y(t))=t,t*diff(y(t),t)+x(t)+5*y(t)=t^2},{x(t),y(t)}: ode[1880] := {t^2*(1-sint(t))*diff(x(t),t)=t*(1-2*sin(t))*x(t)+t^2*y(t),t^2*(1-sint(t))*diff(y(t),t)=(t*cos(t)-sin(t))*x(t)+t*(1-t*cos(t))*y(t)},{x(t),y(t)}: ode[1881] := {diff(x(t),t)+diff(y(t),t)+y(t)=f(t),diff(x(t),t,t)+diff(y(t),t,t)+diff(y(t),t)+x(t)+y(t)=g(t)},{x(t),y(t)}: ode[1882] := {2*diff(x(t),t)+diff(y(t),t)-3*x(t)=0,diff(x(t),t,t)+diff(y(t),t)-2*y(t)=exp(2*t)},{x(t),y(t)}: ode[1883] := {diff(x(t),t)-diff(y(t),t)+x(t)=2*t,diff(x(t),t,t)+diff(y(t),t)-9*x(t)+3*y(t)=sin(2*t)},{x(t),y(t)}: ode[1884] := {diff(x(t),t)-x(t)+2*y(t)=0,diff(x(t),t,t)-2*diff(y(t),t)=2*t-cos(2*t)},{x(t),y(t)}: ode[1885] := {t*diff(x(t),t)-t*diff(y(t),t)-2*y(t)=0,t*diff(x(t),t,t)+2*diff(x(t),t)+t*x(t)=0},{x(t),y(t)}: ode[1886] := {diff(x(t),t,t)+a*y(t)=0,diff(y(t),t,t)-a^2*y(t)=0},{x(t),y(t)}: ode[1887] := {diff(x(t),t,t)=a*x(t)+b*y(t),diff(y(t),t,t)=c*x(t)+d*y(t)},{x(t),y(t)}: ode[1888] := {diff(x(t),t,t)=a1*x(t)+b1*y(t)+c1,diff(y(t),t,t)=a2*x(t)+b2*y(t)+c2},{x(t),y(t)}: ode[1889] := {diff(x(t),t,t)+x(t)+y(t)=-5,diff(y(t),t,t)-4*x(t)-3*y(t)=-3},{x(t),y(t)}: ode[1890] := {diff(x(t),t,t)=(3*cos(a*t+b)^2-1)*c^2*x(t)+3/2*c^2*y(t)*sin(2*(a*t*b)),diff(y(t),t,t)=(3*sin(a*t+b)^2-1)*c^2*y(t)+3/2*c^2*x(t)*sin(2*(a*t*b))},{x(t),y(t)}: ode[1891] := {diff(x(t),t,t)+6*x(t)+7*y(t)=0,diff(y(t),t,t)+3*x(t)+2*y(t)=2*t},{x(t),y(t)}: ode[1892] := {diff(x(t),t,t)-a*diff(y(t),t)+b*x(t)=0,diff(y(t),t,t)+a*diff(x(t),t)+b*y(t)=0},{x(t),y(t)}: ode[1893] := {a1*diff(x(t),t,t)+b1*diff(x(t),t)+c1*x(t)-A*diff(y(t),t)=B*exp(I*omega*t),a2*diff(y(t),t,t)+b2*diff(y(t),t)+c2*y(t)+A*diff(x(t),t)=0},{x(t),y(t)}: ode[1894] := {diff(x(t),t,t)+a*(diff(x(t),t)-diff(y(t),t))+b1*x(t)=c1*exp(I*omega*t),diff(y(t),t,t)+a*(diff(y(t),t)-diff(x(t),t))+b2*y(t)=c2*exp(I*omega*t)},{x(t),y(t)}: ode[1895] := {a11*diff(x(t),t,t)+b11*diff(x(t),t)+c11*x(t)+a12*diff(y(t),t,t)+b12*diff(y(t),t)+c12*y(t)=0,a21*diff(x(t),t,t)+b21*diff(x(t),t)+c21*x(t)+a22*diff(y(t),t,t)+b22*diff(y(t),t)+c22*y(t)=0},{x(t),y(t)}: ode[1896] := {diff(x(t),t,t)-2*diff(x(t),t)-diff(y(t),t)+y(t)=0,diff(y(t),t,t,t)-diff(y(t),t,t)+2*diff(x(t),t)-x(t)=t},{x(t),y(t)}: ode[1897] := {diff(x(t),t,t)+diff(y(t),t,t)+diff(y(t),t)=sinh(2*t),2*diff(x(t),t,t)+diff(y(t),t,t)=2*t},{x(t),y(t)}: ode[1898] := {diff(x(t),t,t)-diff(x(t),t)+diff(y(t),t)=0,diff(x(t),t,t)+diff(y(t),t,t)-x(t)=0},{x(t),y(t)}: ode[1899] := {diff(x(t),t)=2*x(t),diff(y(t),t)=3*x(t)-2*y(t),diff(z(t),t)=2*y(t)+3*z(t)},{x(t),y(t),z(t)}: ode[1900] := {diff(x(t),t)=4*x(t),diff(y(t),t)=x(t)-2*y(t),diff(z(t),t)=x(t)-4*y(t)+z(t)},{x(t),y(t),z(t)}: ode[1901] := {diff(x(t),t)=y(t)-z(t),diff(y(t),t)=x(t)+y(t),diff(z(t),t)=x(t)+z(t)},{x(t),y(t),z(t)}: ode[1902] := {diff(x(t),t)-y(t)+z(t)=0,diff(y(t),t)-x(t)-y(t)=t,diff(z(t),t)-x(t)-z(t)=t},{x(t),y(t),z(t)}: ode[1903] := {a*diff(x(t),t)=b*c*(y(t)-z(t)),b*diff(y(t),t)=c*a*(z(t)-x(t)),c*diff(z(t),t)=a*b*(x(t)-y(t))},{x(t),y(t),z(t)}: ode[1904] := {diff(x(t),t)=c*y(t)-b*z(t),diff(y(t),t)=a*z(t)-c*x(t),diff(z(t),t)=b*x(t)-a*y(t)},{x(t),y(t),z(t)}: ode[1905] := {diff(x(t),t)=h(t)*y(t)-g(t)*z(t),diff(y(t),t)=f(t)*z(t)-h(t)*x(t),diff(z(t),t)=g(t)*x(t)-f(t)*y(t)},{x(t),y(t),z(t)}: ode[1906] := {diff(x(t),t)=x(t)+y(t)-z(t),diff(y(t),t)=y(t)+z(t)-x(t),diff(z(t),t)=z(t)+x(t)-y(t)},{x(t),y(t),z(t)}: ode[1907] := {diff(x(t),t)=-3*x(t)+48*y(t)-28*z(t),diff(y(t),t)=-4*x(t)+40*y(t)-22*z(t),diff(z(t),t)=-6*x(t)+57*y(t)-31*z(t)},{x(t),y(t),z(t)}: ode[1908] := {diff(x(t),t)=6*x(t)-72*y(t)+44*z(t),diff(y(t),t)=4*x(t)-4*y(t)+26*z(t),diff(z(t),t)=6*x(t)-63*y(t)+38*z(t)},{x(t),y(t),z(t)}: ode[1909] := {diff(x(t),t)=a*x(t)+g*y(t)+beta*z(t),diff(y(t),t)=g*x(t)+b*y(t)+alpha*z(t),diff(z(t),t)=beta*x(t)+alpha*y(t)+c*z(t)},{x(t),y(t),z(t)}: ode[1910] := {t*diff(x(t),t)=2*x(t)-t,t^3*diff(y(t),t)=-x(t)+t^2*y(t)+t,t^4*diff(z(t),t)=-x(t)-t^2*y(t)+t^3*z(t)+t},{x(t),y(t),z(t)}: ode[1911] := {a*t*diff(x(t),t)=b*c*(y(t)-z(t)),b*t*diff(y(t),t)=c*a*(z(t)-x(t)),c*t*diff(z(t),t)=a*b*(x(t)-y(t))},{x(t),y(t),z(t)}: ode[1912] := {diff(x1(t),t)=a*x2(t)+b*x3(t)*cos(c*t)+b*x4*sin(c*t),diff(x2(t),t)=-a*x1(t)+b*x3(t)*sin(c*t)-b*x4(t)*cos(c*t),diff(x3(t),t)=-b*x1(t)*cos(c*t)-b*x2(t)*sin(c*t)+a*x4(t),diff(x4(t),t)=-b*x1(t)*sin(c*t)+b*x2(t)*cos(c*t)-a*x3(t)},{x1(t),x2(t),x3(t),x4(t)}: ##################################################################### #chapter 9 ode[1913] := {diff(x(t),t)=-x(t)*(x(t)+y(t)),diff(y(t),t)=y(t)*(x(t)+y(t))},{x(t),y(t)}: ode[1914] := {diff(x(t),t)=(a*y(t)+b)*x(t),diff(y(t),t)=(c*x(t)+d)*y(t)},{x(t),y(t)}: ode[1915] := {diff(x(t),t)=x(t)*(a*(p*x(t)+q*y(t))+alpha),diff(y(t),t)=y(t)*(beta+b*(p*x(t)+q*y(t)))},{x(t),y(t)}: ode[1916] := {diff(x(t),t)=h*(a-x(t))*(c-x(t)-y(t)),diff(y(t),t)=k*(b-y(t))*(c-x(t)-y(t))},{x(t),y(t)}: ode[1917] := {diff(x(t),t)=y(t)^2-cos(x(t)),diff(y(t),t)=-y(t)*sin(x(t))},{x(t),y(t)}: ode[1918] := {diff(x(t),t)=-x(t)*y(t)^2+x(t)+y(t),diff(y(t),t)=x(t)^2*y(t)-x(t)-y(t)},{x(t),y(t)}: ode[1919] := {diff(x(t),t)=x(t)+y(t)-x(t)*(x(t)^2+y(t)^2),diff(y(t),t)=-x(t)+y(t)-y(t)*(x(t)^2+y(t)^2)},{x(t),y(t)}: ode[1920] := {diff(x(t),t)=-y(t)+x(t)*(x(t)^2+y(t)^2-1),diff(y(t),t)=x(t)+y(t)*(x(t)^2+y(t)^2-1)},{x(t),y(t)}: ode[1921] := {diff(x(t),t)=-y(t)*(x(t)^2+y(t)^2),diff(y(t),t)=piecewise((x(t)^2+y(t)^2)>=2*x(t),(x(t)^2+y(t)^2),(x(t)/2-y(t)^2/2/x(t))*(x(t)^2+y(t)^2))},{x(t),y(t)}: ode[1922] := {diff(x(t),t)=-y(t)+piecewise((x(t)^2+y(t)^2)<>1,x(t)*(x(t)^2+y(t)^2-1)*sin(1/(x(t)^2+y(t)^2))),diff(y(t),t)=x(t)+piecewise((x(t)^2+y(t)^2)<>1,y(t)*(x(t)^2+y(t)^2-1)*sin(1/(x(t)^2+y(t)^2)))},{x(t),y(t)}: ode[1923] := {(t^2+1)*diff(x(t),t)=-t*x(t)+y(t),(t^2+1)*diff(y(t),t)=-x(t)-t*y(t)},{x(t),y(t)}: ode[1924] := {(x(t)^2+y(t)^2-t^2)*diff(x(t),t)=-2*t*x(t),(x(t)^2+y(t)^2-t^2)*diff(y(t),t)=-2*t*y(t)},{x(t),y(t)}: ode[1925] := {diff(x(t),t)^2+t*diff(x(t),t)+a*diff(y(t),t)-x(t)=0,diff(x(t),t)*diff(y(t),t)+t*diff(y(t),t)-y(t)=0},{x(t),y(t)}: ode[1926] := {x(t)=t*diff(x(t),t)+f(diff(x(t),t),diff(y(t),t)),y(t)=t*diff(y(t),t)+g(diff(x(t),t),diff(y(t),t))},{x(t),y(t)}: ode[1927] := {diff(x(t),t,t)=a*exp(2*x(t))-exp(-x(t))+exp(-2*x(t))*cos(y(t))^2,diff(y(t),t,t)=exp(-2*x(t))*sin(y(t))*cos(y(t))-sin(y(t))/cos(y(t))^3},{x(t),y(t)}: ode[1928] := {diff(x(t),t,t)=k*x(t)/(x(t)^2+y(t)^2)^(3/2),diff(y(t),t,t)=k*y(t)/(x(t)^2+y(t)^2)^(3/2)},{x(t),y(t)}: ode[1929] := {diff(x(t),t,t)=-C(y(t))*f((diff(x(t),x)^2+diff(y(t),t)^2)^(1/2))/(diff(x(t),x)^2+diff(y(t),t)^2)^(1/2)*diff(x(t),t),diff(y(t),t,t)=-C(y(t))*f((diff(x(t),x)^2+diff(y(t),t)^2)^(1/2))/(diff(x(t),x)^2+diff(y(t),t)^2)^(1/2)*diff(y(t),t)-g},{x(t),y(t)}: ode[1930] := {diff(x(t),t)=y(t)-z(t),diff(y(t),t)=x(t)^2+y(t),diff(z(t),t)=x(t)^2+z(t)},{x(t),y(t),z(t)}: ode[1931] := {a*diff(x(t),t)=(b-c)*y(t)*z(t),b*diff(y(t),t)=(c-a)*z(t)*x(t),c*diff(z(t),t)=(a-b)*x(t)*y(t)},{x(t),y(t),z(t)}: ode[1932] := {diff(x(t),t)=x(t)*(y(t)-z(t)),diff(y(t),t)=y(t)*(z(t)-x(t)),diff(z(t),t)=z(t)*(x(t)-y(t))},{x(t),y(t),z(t)}: ode[1933] := {diff(x(t),t)+diff(y(t),t)=x(t)*y(t),diff(y(t),t)+diff(z(t),t)=y(t)*z(t),diff(x(t),t)+diff(z(t),t)=x(t)*z(t)},{x(t),y(t),z(t)}: ode[1934] := {diff(x(t),t)=x(t)^2/2-1/24*y(t),diff(y(t),t)=2*x(t)*y(t)-3*z(t),diff(z(t),t)=3*x(t)*z(t)-1/6*y(t)^2},{x(t),y(t),z(t)}: ode[1935] := {diff(x(t),t)=x(t)*(y(t)^2-z(t)^2),diff(y(t),t)=y(t)*(z(t)^2-x(t)^2),diff(z(t),t)=z(t)*(x(t)^2-y(t)^2)},{x(t),y(t),z(t)}: ode[1936] := {diff(x(t),t)=x(t)*(y(t)^2-z(t)^2),diff(y(t),t)=-y(t)*(z(t)^2+x(t)^2),diff(z(t),t)=z(t)*(x(t)^2+y(t)^2)},{x(t),y(t),z(t)}: ode[1937] := {diff(x(t),t)=-x(t)*y(t)^2+x(t)+y(t),diff(y(t),t)=x(t)^2*y(t)-x(t)-y(t),diff(z(t),t)=y(t)^2-x(t)^2},{x(t),y(t),z(t)}: ode[1938] := {diff(x(t),t$2)=(D(F)(r))/r*x(t), diff(y(t),t$2)=(D(F)(r))/r *y(t), diff(z(t),t$2)=(D(F)(r))/r*z(t)},{x(t),y(t),z(t)}:
ode[1939]:= {(x(t)-y(t))*(x(t)-z(t))*diff(x(t),t)=f(t),(y(t)-x(t))*(y(t)-z(t))*diff(y(t),t)=f(t),(z(t)-x(t))*(z(t)-y(t))*diff(z(t),t)=f(t)},{x(t),y(t),z(t)}:
ode[1940] := {diff(x1(t),t)*sin(x2(t))=x4(t)*sin(x3(t))+x5(t)*cos(x3(t)),diff(x2(t),t)= x4(t)*cos(x3(t))-x5(t)*sin(x3(t)),diff(x3(t),t)+diff(x1(t),t)*cos(x2(t))= a,diff(x4(t),t)-(1-lambda)*a*x5(t)= -m*sin(x2(t))*cos(x3(t)),diff(x5(t),t)+(1-lambda)*a*x4(t)= m*sin(x2(t))*sin(x3(t))},{x1(t),x2(t),x3(t),x4(t),x5(t)}:


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