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Math Help - Nonhomogeneous DEs

  1. #1
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    Nonhomogeneous DEs

    x^2y" - 2xy' + 2y = 1/x^2

    I think you do this by variation of parameters but i'm getting stuck on finding the solution
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  2. #2
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    Quote Originally Posted by action259
    x^2y" - 2xy' + 2y = 1/x^2

    I think you do this by variation of parameters but i'm getting stuck on finding the solution
    Actually this is a Cauchy-Linear Equation.
    Use the subsitution,
    x=e^z.
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  3. #3
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    i used the Cauchy-Linear method to find the homgeneous solution but don't you still need to use variation of parameters to find the particular solution? this is where i seem to be getting stuck
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