$\frac{\tan\left(x\right)+1}{\cot\left(x\right)+1}+\cot\left(x\right)=2\csc\left(2x\right)$

$\frac{d^2}{dx^2}\left(x^2-xy+y^2-3y\right)$

$yln\left(x\right)-xy'=0$

$\frac{1}{2}a\cdot2a^2$

$y'+4y=e^x$

$\int\frac{7x^2-2x}{x^3-4x^2-3x+18}dx$

$\int\:\frac{5}{\left(3x-4\right)^2}dx$