When dealing with thisseparableequation for example, if I'm told to solve the givenD.E.

$y' = x^2/y$

so after manipulation and taking the integral I got $\frac{y^2}{2} = \frac{x^3}{3} + C$ This is theimplicit formcorrect?

Would theexplicitform be $y = \sqrt{\frac{2}{3} x^3 + C}$