$y'=\frac{6x-12}{x^2},y\left(1\right)=20$
$x''+3x'+6x=0$
$\left(3y^2-1\right)dy=\left(xy^3\sin\left(2x\right)-xy\sin\left(2x\right)\right)dx$
$\sec^2\left(\frac{\pi}{4}\right)-1$
$10x^2-x-3$
$\lim_{x\to0}tan9xln4x$
$e^y\frac{dy}{dx}=1$
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