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Math Help - Second order nonhomegeneous DE

  1. #1
    Junior Member
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    Second order nonhomegeneous DE

    I am trying to solve the following:

    y''+y'-2y=x^{3}-e^{x}

    I have been trying to use the method of undetermined coefficients but cannot find an appropriate choice for y_{p}(x).
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  2. #2
    Senior Member
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    Aug 2011
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    Re: Second order nonhomegeneous DE

    To find the particular solution corresponding to -exp(x), try A*x*exp(x) and compute A;
    To find the particular solution corresponding to x^3, try B*x^3 +C*x^2 +D*x+E and compute B, C, D and E.
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