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    Differential Equations and Variation of Parameters

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    Solve t^2y''+ty'-y=2t^2 sin t t not equal to zero

    Use method of variation of parameters
    Solve ∫t^2 sin t dt= -t^2 cos t + 2t sin t +2 cos t

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    I assume we could use the integral you provided as is.

    To solve

    One must first solve the associated homogenous equation

    This equation can be solved using a "guess":

    Substituting ...

    Solution Summary

    An ODE and an integral are solved. The solution is detailed and well presented.

    $2.49

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