Thread: 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

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,
.

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