$y^4\frac{dy}{dx}=\sec^2\left(x\right)$
$8y\frac{dy}{dx}=5x^2$
$\int\frac{5x+1}{\left(2x+1\right)\left(x-1\right)}dx$
$-5a+7b-6c+5a-b$
$7\sqrt{xy}$
$\lim_{x\to1}\:\:2x^2-3x+4$
$\left(x-2\right)\:\frac{dy}{dx}+\frac{3\left(x-1\right)}{x-1}y=1$
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