$y\ln\left(x\right)\frac{dy}{dx}=0$
$xy'=x^2cosx+y$
$-4-\left(-5+2\right)$
$\frac{dy}{dx}\left(\sqrt{3x}+\sqrt[3]{4y}=5\right)$
$ln\left(1+x\right)\:=\:2$
$a\log b+b\log a$
$\int\frac{2}{x^3\sqrt{x^2+1}}dx$
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