$y^3+3y^2-4y=0$

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

$x^2+8x=15$

$m^2+m-3\cdot m^2+m-3$

$\frac{dy}{dx}-cot\left(x\right)y=sen\left(x\right)cos\left(x\right)y^3\:\:;\:\:y\left(\frac{\pi\:}{2}\right)=1$

$\frac{dy}{dx}\left(8x^5+3y^5=11xy\right)$

$\int\:\left(3x+7\right)^4\:dx$