Question

Using homogeneous method, how am i going to solve this?

(2x-3y)dx + (2y-3x)dy=0

Answer 1

ooh DEs :D

Answer 2

i'm already separating variables, and i guess i'm stuck. help me please. :)

Answer 3

http://www.khanacademy.org/math/differential-equations/v/first-order-homegenous-equations

this might help :)

Answer 4

if not the next video on list might help

Answer 5

You can get this into the form of an exact equation by dividing by dx

Answer 6

and then you need an integrating factor.

Answer 7

then i'll be using the method of exact DE instead of the homogeneous?

Answer 8

well an exact equation is always homogeneous, but that's what I would suggest doing there.

Answer 9

but I am sure there are other methods (-: so you might want to wait for other answers.