Was wondering if anyone could help me out with this ODE:
(y-x)dy/dx + (2x+3y) = 0
I'm told that it's a homogeneous equation, and so presume that the substitution y=ux (i.e. u = y/x) will come into play somewhere. However when I try this it doesn't seem to help too much - is this substitution the right kind of approach or am I missing something?
Any hints on how to go about this problem would be greatly appreciated.