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Math Help - Nonhomogenous differencial equation

  1. #1
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    Nonhomogenous differencial equation

    need help...
    Attached Thumbnails Attached Thumbnails Nonhomogenous differencial equation-df4.jpg  
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  2. #2
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    Quote Originally Posted by harry View Post
    need help...
    I would try a trial PI of the form:

    y(x) = [x^3 e^x]/6 + Asin(x)+Bcos(x) + ax^2 + bx +c

    and find the values of A, B, a, b, and c that give a PI.

    RonL
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  3. #3
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    y(x)=(Ax+B)e^x+(Csinx+Dcosx)+(Ex^2+Fx+G)
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  4. #4
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    Quote Originally Posted by ThePerfectHacker View Post
    y(x)=(Ax+B)e^x+(Csinx+Dcosx)+(Ex^2+Fx+G)
    Erherm ...

    [D^2 - 2D + 1](Ax+B)e^x = 0

    RonL
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  5. #5
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    Quote Originally Posted by CaptainBlank View Post
    Erherm ...

    [D^2 - 2D + 1](Ax+B)e^x = 0

    RonL
    Right.
    It looked like
    D^2-2D+2
    To me.
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