Homework Statement
Solve the given differential equation by using an appropriate substitution.
Homework Equations
(x^{2}+xy+3y^{2})dx-(x^{2}+2xy)dy=0
y=ux, dy=udx+xdu
The Attempt at a Solution
(x^{2}dx+ux^{2}dx+3u^{2}x^{2}dx)-(ux^{2}dx+x^{3}du+2u^{2}x^{2}dx+2ux^{3}du)=0
After...