$x^2y'+2xy=x^{-1}$
$4x+14y+6+14x-20y-10$
$\int\log e^{3y}dy$
$\frac{3}{2x+4}-\frac{2x}{x^2-4}$
$\int\sin^2\left(y\right)\:dy$
$\int_3^4\left(\frac{1}{2-4x}\right)dx$
$\frac{dy}{dx}=yx+x+y+1\:;\:y\left(0\right)=1$
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