- #1
psholtz
- 136
- 0
Homework Statement
Solve the following equation:
[tex]y^2- xy + (x+1)y' = 0[/tex]
The Attempt at a Solution
The equation isn't exact, and it isn't homogeneous.
I've tried a range of different substitutions, including v = y - x, v = y^2, v = y^2 - xy, none of which seem to lead down a fruitful path.
I've tried differentiating this expression, to obtain a second-order ODE, and then eliminate either the nonlinear term, or the y' term, etc, between the two expressions, but that doesn't seem to lead anywhere fruitful either..
Any hints? :-)