Question
Solve the following differential equations:
$\frac{d y}{d x}+ y \cot x = x ^2 \cot x +2 x$
$\frac{d y}{d x}+ y \cot x = x ^2 \cot x +2 x$
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$5 x^2+2 x y-3 y^2=0$
$y=e^{-2 x}(A \cos x+B \sin x)$