# Math Help - Nonhomogeneous DEs

1. ## Nonhomogeneous DEs

x^2y" - 2xy' + 2y = 1/x^2

I think you do this by variation of parameters but i'm getting stuck on finding the solution

2. Originally Posted by action259
x^2y" - 2xy' + 2y = 1/x^2

I think you do this by variation of parameters but i'm getting stuck on finding the solution
Actually this is a Cauchy-Linear Equation.
Use the subsitution,
$x=e^z$.

3. i used the Cauchy-Linear method to find the homgeneous solution but don't you still need to use variation of parameters to find the particular solution? this is where i seem to be getting stuck