$3y+dy=e^{2x}dx$

$n^2-72yn+16y^2n$

$3e^{7\:x}\frac{dy}{dx}\:=\:-49\frac{x}{y^2},\:y\left(0\right)=2$

$s\left(t\right)=t^{-\frac{1}{2}}\left(ln\left(t\right)+2\right)+\frac{1}{2}t^2+3t-\frac{1}{2}$

$\int\frac{5x}{\sqrt{x^2-1}}dx$

$\frac{1-\sin^2x}{\sin^2x}=\cot^2x$

$3xy^2+2x^2y-2xy^2$