$\frac{dy}{dx}-3x^2=1$
$\int\left(4e^x-\frac{2}{x}\right)dx$
$\frac{d}{dx}\left(x^x\right)=x^{\cos^2x}$
$2y'+3y=e^{4x}$
$\int\:\frac{e^2}{e^2\:+\:1}dx$
$5y-2=9y+18$
$\frac{m^8+1}{m-1}$
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