Hi - I am just checking that I have got the right idea

The following first-order differential equation can be solved by separting the variables

$\displaystyle {\frac{dy}{dx}} = x^2 + 2x^2y^2(y>0)$

Am I right in saying that the following is the right separation so I can integrate and solve?

$\displaystyle \int {\frac{dy}{1+2y^2}}= \int x^2 dx$

Thanks in anticipation.