# [SOLVED] Differentiate

• Feb 16th 2009, 12:45 PM
ronaldo_07
[SOLVED] Differentiate
Solve the following differential equation by separation of variables and fix the constant of integration according to the given initial condition
$y' = y^2 + xy^22, y(0)= 1 .$

I have split it into $y^2(1+x)$ but do not know where to go from here.
• Feb 16th 2009, 12:46 PM
Jameson
Good start. Now get all the y's on the left hand side and keep the x's on the right. Then you can integrate both sides.
• Feb 16th 2009, 01:13 PM
ronaldo_07
Thanks I managed to solve it