Input:
pdsolve(ds(y,t)=2ds(y,x,1)-y^2)
Write:
`pdsolve(ds(y,t)=2ds(y,x,1)-y^2)`
Compute:
$$pdsolve(\frac{dy}{dt} =2\ \frac{d^{{1}}y}{dx^{{1}}} - {y}^{2})$$
Output:
$$pdsolve(\frac{dy}{dt} =2\ \frac{d^{{1}}y}{dx^{{1}}} - {y}^{2})== -t+1.4142135623730951\ tan(C_1\ \sqrt {\frac{1}{2}}+x)$$
Result: $$-t+1.4142135623730951\ tan(C_1\ \sqrt {\frac{1}{2}}+x)$$
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