$\frac{dy}{dx}=\frac{1}{y^2-4}$
$2\frac{dy}{dx}-2=4e^x$
$\csc^4-2\csc^2+1=\cot^4$
$\frac{dy}{dx}\left(5xy-7y^2=5\right)$
$\frac{d\left(a\cdot b\right)}{dt}\cdot\frac{1}{b}$
$^{-3^2}$
$2xydx+\left(x^2+2y\right)dy=0$
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