Higher Order Differential Equations: Variation of parameter.

[Sabricd]

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

 

[LCKurtz]

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

First you solve the homogeneous equation for two independent solutions $y_1$ and $y_2$. Have you done that?