$\lim_{x\to0}\left(\frac{x\cos\left(x\right)+\sin\left(x\right)}{x^2}\right)$

$\frac{d}{dx}x^2y-y^2=3$

$\lim_{x\to\pi}cos\left(\frac{x}{2}\right)\csc\left(x\right)$

$10xy-5yx-\left(3am-2xy\right)+20$

$5x^2-27x+10$

$\frac{s+3}{\left(s^2+3s+2\right)}$

$\left(x\:+\:1\right)dy\:+\:\left(y\:-\:1\right)dx\:=\:0$