$\frac{dy}{dx}=\frac{x}{y},y\left(0\right)=-1$

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

$\int\frac{x^3+3}{\left(x^3+4x^2+4x\right)}dx$

$16y^3+20y^2-4y$

$x^{-\frac{1}{2}}\cdot x^{\frac{4}{5}}$

$100n+120\le40n+300$

$\frac{dy}{dx}=\frac{\ln\left(x\right)}{x^7}$