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    Solution of Differential Equation

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    Verify that y_p , where y_p(x) = sin 2x, is a solution of the differential equation:
    y'' - y = -5 sin 2x. Use this fact to find the general solution of the equation

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    https://brainmass.com/math/calculus-and-analysis/solution-differential-equation-16083

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    Proof. y_p(x)=sin2x==>[y_p(x)]'=2cos2x and [y_p(x)]''=-4sin2x
    So, [y_p(x)]'' - y_p(x) = -5 sin 2x
    So, ...

    Solution Summary

    A solution to a differential equaiton is verified.

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