$\frac{dy}{dx}=\frac{6y^3}{\left(3-2x\right)^2}$

$\frac{dy}{dx}-\left(\ln\left(x\right)\right)y=3x^x$

$8xy9yx$

$\lim_{x\to3}\left(\frac{x-3}{e^x-e^3}\right)$

$\int\frac{x+1}{\left(x+5\right)\left(x-1\right)}dx$

$\lim_{x\to\frac{1}{4}}\left(\frac{2x^2+x^3}{x}\right)^{\frac{1}{4}}$

$\sin^2x+1=\cos x$