# Solve the DE

#### idontknow

$$\displaystyle y'^3 -4xyy'+8y^2 =0$$.

#### skipjack

Forum Staff
The general solution is probably very complicated, but there are some solutions that are easy to find:
$y = 0$, $y = 4x^3/27$, and (for real x) two piecewise-defined solutions based on those.