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Math Help - Method of Undetermined coefficients

  1. #1
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    Method of Undetermined coefficients

    Hey guys, I'm having a little trouble with this problem. I'm not entirely sure how the particular solution should look so I can't really solve the problem

    Here it is:


    Find a particular solution y_p of the differential equation 5y''+8y'+5y=sin^2(x) using the method of undetermined coefficients


    Any help would be appreciated
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  2. #2
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    Quote Originally Posted by Deeds025 View Post
    Hey guys, I'm having a little trouble with this problem. I'm not entirely sure how the particular solution should look so I can't really solve the problem

    Here it is:


    Find a particular solution y_p of the differential equation 5y''+8y'+5y=sin^2(x) using the method of undetermined coefficients


    Any help would be appreciated
    Note (from the standard double angle formula) that \sin^2 x = \frac{1}{2} - \frac{1}{2} \cos(2x).
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