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Math Help - solve

  1. #1
    Junior Member ceode's Avatar
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    solve

    y'''+y''+y'+y=x^2
    thanks
    Last edited by ceode; December 28th 2010 at 10:04 PM.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by ceode View Post
    y'''+y''+y'+y=x^2
    thanks
    The roots of the characteristic equation are -1,\pm i, so the general solution for the homogeneus is:

    y_h(x)=C_1e^{-x}+C_2\cos x+C_3\sin x

    A particular solution for the complete has the form :

    y_p(x)=Ax^2+Bx+C

    Try it.

    Fernando Revilla
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