# Higher Order Differential Equations: Variation of parameter.

1. ### Sabricd

27
Hi,

I'm not exactly sure how to solve the following non-homogeneous ODE by variation of parameters.

Solve the given non-homogeneous ODE by the variation of parameters:

x^2y" + xy' -1/4y = 3/x + 3x

Can someone please point me in the right direction? Help will be much appreciated!!
-Sabrina

2. ### LCKurtz

8,336
First you solve the homogeneous equation for two independent solutions ##y_1## and ##y_2##. Have you done that?