Question

solve the differential equation:
(x^2 - y^2) dx + 3 x y dy = 0
any ideas??

Answer 1

Put y=vx where v is a new variable!

Answer 2

got it, thanks!

Answer 3

anytime

Answer 4

Hey, can I give you a hint for the future? When you see things in this form, right away they should appear as seperable and exactly solvable. Try to isolate x and y from each other and if you can, your golden.

Answer 5

Thanks. As it stands it isn't separable, but since the coefficients of dx and dy are homogeneous functions, the substitution y=vx works and makes it separable. It took me a while to notice it...