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Higher Order Differential Equations: Variation of parameter.

  1. Mar 10, 2012 #1

    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!!
  2. jcsd
  3. Mar 10, 2012 #2


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