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

$6z^2y-12zy^3$

$\left(\frac{3}{2}x^4-\frac{1}{5}y^3\right)^4$

$\lim_{n\to\infty}\left(\frac{ln\left(n^2\right)}{xln\left(2n\right)}\right)$

$\lim_{x\to\infty}\left(\frac{\sqrt{x^2+\left(100x^2-1\right)^2}}{x}\right)$

$\frac{d^2}{dx^2}\left(xy=32\right)$

$a^2-6a-40=0$