$y'=\frac{2x+1}{5y^4+1}\:\:$

$\frac{dy}{dx}+2y=3$

$\left(9x^2+7x-3\right)\left(-4x-1\right)$

$\lim_{n\to\infty}\:\left(\left(\frac{\left(\frac{10}{11}\right)^n}{\left(\frac{9}{10}\right)^n+\left(\frac{11}{12}\right)^n}\right)\right)$

$\frac{d}{dx}x^3+y^4-12x-2y^2$

$\frac{ax+ay-x^2+y^2}{ax-x^2+xy}$

$\frac{dy}{dx}^2+y+1=0$