$\frac{dy}{dx}=\:2x\:+2xy^2$
$x^3-3x+\frac{7}{x^2}+3$
$y'\:-4y=e^{-4x}$
$-6x^2+2x+1$
$\frac{d}{dx}\left(y=x\left(ln2x\right)^2\right)$
$\int3x\ln\left(7x\right)dx$
$\left(5x^{2\:}-8\right)\left(5x^{2\:}+7\right)$
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