$\left(4\:+\:x\right)y'\:=\:y^3$

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

$\lim\:_{x\to\:\infty\:\:}\left(e^{\frac{\sqrt{x^2+1}}{x-1}}\right)$

$\frac{12}{x+8}\:=\frac{3}{x-1}$

$y'+2y=4$

$\lim_{x\to\frac{\pi}{2}}\left(\cos\left(-5x\right)\sec\left(-3x\right)\right)$

$ln\:\left(y\right)=4ln\left(x\right)$