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Thread: Solution by undetermined coefficients

  1. September 28th 2009, 11:44 AM #1
    ntfabolous
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    Exclamation Solution by undetermined coefficients

    I got one more differential eq. which I am unsure of....

    Solution by undetermined coefficients:
    Find a (real) general solution. Which rule are you using?

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

    Thanks!
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  2. September 28th 2009, 11:52 PM #2
    mr fantastic
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    Quote Originally Posted by ntfabolous View Post
    I got one more differential eq. which I am unsure of....

    Solution by undetermined coefficients:
    Find a (real) general solution. Which rule are you using?

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

    Thanks!
    Since y = a e^{2x} is part of the homogenous solution you must use a particular solution of the form y_p = a x e^{2x}.
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