$\frac{dy}{dx}-y=2\cdot x$

$\lim_{x\to0}\left(\left(\frac{1+x\cdot\:2^x}{1+x\cdot\:3^x}\right)^{\frac{1}{x^2}}\right)$

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

$x^3y^3+1$

$-\frac{1}{2}\log\left(c\right)$

$\frac{dy}{dx}=\frac{8y}{\left(9-x^2\right)}$

$\int\:\frac{1}{x\sqrt{9x^2+64}}dx$