# Thread: Can someone explain with steps! Getting this wrong, Seperation of variables

1. ## Can someone explain with steps! Getting this wrong, Seperation of variables

y^2 (dy/dx) = (x^2)y + x^2

I need to get to the stage where direct integration can take place. y > -1

Many thanks acu

2. May be this:

y^2 (dy/dx) = (x^2)y + x^2 = (x^2)( y + 1)

((y^2)/( y + 1))(dy/dx) = (x^2)

3. You will also need to long divide so that you can integrate the LHS.