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Thread: solve

  1. December 28th 2010, 07:45 PM #1
    ceode
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    solve

    y'''+y''+y'+y=x^2
    thanks
    Last edited by ceode; December 28th 2010 at 09:04 PM.
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  2. December 28th 2010, 11:52 PM #2
    FernandoRevilla
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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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« Checking Linear Operators | Find the general solution »

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