Higher Order Differential Equations: Variation of parameter.

  1. 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!!
  2. jcsd
  3. LCKurtz

    LCKurtz 8,454
    Homework Helper
    Gold Member

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