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Math Help - Quick Undetermined Coefficients Question

  1. #1
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    Quick Undetermined Coefficients Question

    Right now, the equation I'm working on is y''(t) - y(t) = t \mbox{sin}(t). Which form should I use for the particular solution? My guess is that the correct form should be y_p(t) = (At + B)\mbox{sin}(t) + (Ct + D)\mbox{cos}(t). Is that the proper form or is it something else?
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  2. #2
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    Quote Originally Posted by BlazingFire View Post
    Right now, the equation I'm working on is y''(t) - y(t) = t \mbox{sin}(t). Which form should I use for the particular solution? My guess is that the correct form should be y_p(t) = (At + B)\mbox{sin}(t) + (Ct + D)\mbox{cos}(t). Is that the proper form or is it something else?
    Yes - it's the proper form.
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