$2\cdot y\cdot y'\:-\frac{y^2}{x}\:=\:-1$

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

$0.5\cdot10^7$

$\int x\left(3x-2\right)^6dx$

$\frac{d^2}{dx^2}\left(\left(5+2x\right)e^{-3x}\right)$

$x^2y\left(2x^2-3x+5\right)$

$\int\left(\frac{7cos\left(5x\right)\left(cos\left(5x\right)-2\right)}{3}\right)dx$