$-\frac{1}{2}\ln\left(1-2y\right)=\frac{x^2}{2}$

$\left(m+n\right)\left(3mn+\left(m+n\right)^2\right)$

$\frac{dz}{dt}\left(x^2y-\sin\left(y\right)\right)\:\left(x=\sqrt{t^2+1}\right)\:\left(y=e^t\right)$

$+3y-3xy=0$

$x^3+2xy-4=0$

$x^2-15x-12$

$\frac{dy}{dx}=\frac{x}{\sqrt{y+1}}$