Higher Order Differential Equations: Variation of parameter.


by Sabricd
Tags: non homogeneous, ode, variation parameters
Sabricd
Sabricd is offline
#1
Mar10-12, 03:32 PM
P: 28
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
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LCKurtz
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#2
Mar10-12, 05:49 PM
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Quote Quote by Sabricd View Post
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?


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