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    Find the general solution of the differential equation: y'' + 2y' + 2y = 2e^(-x) tan^2 x

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    Find the general solution of the differential equation: y'' + 2y' + 2y = 2e^(-x) tan^2 x.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:21 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/find-the-general-solution-of-the-differential-equation-y-2y-2y-2e-x-tan-2-x-16089

    Solution Preview

    Consider this homogenous equation:

    y'' + 2y' + 2y=0

    It has two solution finctions, y1=e^(-x)sin(x) and y2=e^(-x)cos(x)

    Then we consider a general solution like:

    y=uy1=u*e^(-x)sin(x) where u is unknown. ...

    Solution Summary

    A solution to a differential equation is found.

    $2.19

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