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

$\left(x+3\right)\left(x-2y\right)\left[x+8\right]\left(-y\right)$

$\lim_{x\to\infty}\frac{1}{xln\left(x+1\right)}$

$\lim_{x\to0}\left(\frac{e^x\sin\left(x\right)-x-x^2}{x^2+x\ln\left(1+x\right)}\right)$

$\frac{x}{4}-5\le3$

$x^2-4x+3^2$

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