$\frac{dy}{dx}=xy+5x+4y+20$
$4x+4y=80$
$\int\cos\left(x+1\right)dx$
$\frac{6}{x^4-6x}$
$\int\frac{8}{\sqrt{x^2+4x+13}}dx$
$\frac{d}{dx}\left(log6^x\right)$
$2\sin\left(\frac{x+y}{2}\right)\cos\left(\frac{x-y}{2}\right)$
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