$\lim_{x\to\infty}\left(\left(8x^{\left(2\right)}-3x+5\right)e^{\left(-x\right)}\right)$

$\frac{dy}{dx}\:+\:5y=2$

$\lim_{x\to8}\left(\frac{\sqrt[6]{6x+16}-2}{\frac{1}{x}-\frac{1}{8}}\right)^{2x^3}$

$\frac{dy}{dx}+2xy=6xy^{-2}$

$5\log\left(2\right)-\log\left(32\right)$

$x^2-32x+16$

$x^{-2}\cdot y^3$