Solving a diff eq by substituion

[shemer77]

Homework Statement

x*y²(dy/dx)=y³-x³
solve the problem

Homework Equations

The Attempt at a Solution

My answer was (x³/3)+c=y/x
there is no answer in the back of the book for this one so i just want to make sure i got it right

 

[SammyS]

Homework Statement

x*y²(dy/dx)=y³-x³
solve the problem

Homework Equations

The Attempt at a Solution

My answer was (x³/3)+c=y/x
there is no answer in the back of the book for this one so i just want to make sure i got it right

Solve your result for y. Then, take the derivative & plug it into the given equation. See if you get equality.