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AI Math Handbook Calculator

+ - * / ^ ! ^o `oo` `alpha` `beta` `gamma` `Gamma` `delta` `theta` `pi` and ( )
sin(x) cos(x) tan(x) cot(x) sec(x) csc(x) `sin^(-1)(x)` `cos^(-1)(x)` `tan^(-1)(x)`
sinh(x) cosh(x) tanh(x) coth(x) `sinh^(-1)(x)` `cosh^(-1)(x)` `tanh^(-1)(x)`
f(x)= x `x^2` `sqrt(x)` `root3(x)` `e^-x` exp(x) ln(x) log(x) `log_10 (x)` |x| W(x) `((3),(x))`
x! x!! `Gamma(x)` `gamma(2,0,x)` `psi(x)` erf(x) `Phi(x)` Ei(x) li(x) si(x) `zeta(x)` `E _0.5 (x^0.5)`
`sum_(x=0)^5`(x) `int ` `int`y(x) dx `int y(x) (dx)^0.5` `int_0^1` sin(x) dx `d/dx`y(x) `(d^(1) y)/dx^(1)` `y^((1))(x)` y' y''

Input:
dsolve(ds(y,x,0.5)-a*y^2-b*y-c)

Write:
`dsolve(ds(y,x,0.5)-a*y^2-b*y-c)`

Compute:
$$dsolve(\frac{d^{{0.5}}y}{dx^{{0.5}}} - a\ {y}^{2} - b\ y - c)$$

Output:
$$dsolve(\frac{d^{{0.5}}y}{dx^{{0.5}}} - a\ {y}^{2} - b\ y - c)== \frac {\frac{1}{2}}{a}\ (-b+(\sqrt{{b}^{2}-4\ a\ c})\ tanh^{(0.5)}((\frac{-1}{2})\ (\sqrt{{b}^{2}-4\ a\ c})\ (C_1+\sqrt{x})))$$

Result: $$\frac {\frac{1}{2}}{a}\ (-b+(\sqrt{{b}^{2}-4\ a\ c})\ tanh^{(0.5)}((\frac{-1}{2})\ (\sqrt{{b}^{2}-4\ a\ c})\ (C_1+\sqrt{x})))$$

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