Solving a Third Order Differential Equation with Initial Conditions

[math_addict]

I'm interested in solving this 3rd order DE y'''=3*y*y' with conds y(0)=-2, y'(0)=0, y''(0)=4,5. Thanks for any ideas.. I've the right solution, but the problem is how to achieve it.

 

[BAnders1]

What have you tried so far? Maybe this thread should be moved over to the Homework and Coursework Questions page.

https://www.physicsforums.com/forumdisplay.php?f=152

 

[derek e]

try
\frac{3}{2}\frac{d}{dt}(y^2)=3y\dot{y}