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Second ODE

  1. Sep 20, 2012 #1
    I have a trouble finding a method other than Variation of Parameters to solve
    y'' + 2xy' + (1+x2)y = 0.

    Does there exist any other method?
     
  2. jcsd
  3. Sep 20, 2012 #2

    HallsofIvy

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    I am confused as to what you mean by using "variation of parameters" to solve this. I was under the impression that variation of parameters was a method for finding a particular solution to a non-homogeneous equation after you had found the general solution to the related homogeneous equation.

    For a linear equation with variable coefficients, like that, a series solution is the standard method.
     
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