Question
Solve the differential equation $\frac{d y}{d x}-y=e^x$. Hence find the particular solution for $x=0$ and $y=1$.
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$y = e ^{ ax } \sin bx ; \frac{d^2 y}{d x^2}-2 a \frac{d y}{d x}+\left(a^2+b^2\right) y=0$
$\left(x^2+y^2\right) d x-2 x y \cdot d y=0$