Question

Find the general solution of the homogeneous differential equation
(x^2-y^2)dx+(3xy)dy=0

Answer 1

\[y=\pm \sqrt{2c1x ^{2/3}-x ^{2}}/\sqrt{2}\]

Answer 2

could i write that as: (x^2+2y^2)^3=cx^2

Answer 3

??

Answer 4

this is not a exact equation

Answer 5

sorry, should have been y(x)=

Answer 6

I think u sub y= vx, it can be made manageable.

Answer 7

U will get a separable equation.

Answer 8

->(x^2-vx^2)dx +3vx^2 dy (and dy= vdx+xdv) then rearrange.