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

- Sep 26th 2010, 02:38 AMacu04385Can 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 - Sep 26th 2010, 02:54 AMTraveller
May be this:

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

((y^2)/( y + 1))(dy/dx) = (x^2) - Sep 26th 2010, 03:45 AMProve It
You will also need to long divide so that you can integrate the LHS.