$2x^2+8x=12$
$4dx+e^{3x}dy$
$\int\frac{\left(2e^x-3\right)e^x}{\left(e^x-1\right)^2}dx$
$\left(1-8xy\right)\left(9xy+1\right)$
$\frac{x^2+3x^2+6x+4}{x+1}$
$cos^2x\frac{dy}{dx}=2y^2$
$\lim_{x\to\infty}\left(\frac{2^x}{5x}\right)$
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