$y^1+3y=x+e^{-x}$

$x^2+5x-9$

$\frac{dy}{dx}=\frac{e^{4x}-3}{e^{2x+3y}}$

$\frac{dx}{dt}=\left(1+e^x\right)^{-1}$

$\frac{4x^3-16x^2+16x}{8x^3-16x^2}$

$\left(m^4+n^3\right)\left(m^4-n^3\right)$

$x\left(y^2-1\right)+\left(yx^2-sin\left(y\right)\:\cdot cos\left(y\right)\right)y'=0$