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    Solving Differential Equations

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    Find general solutions to the differential equations

    (a) y''+4y = sin2x

    (b) y''-2y'+y = x-2ex

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    Find general solutions to the differential equations

    (a) y''+4y = sin2x
    We have y''+4y = sin2x
    First we write the auxiliary equation, which is got by just replacing y' by m.
    So, the auxiliary equation is m2+4=0. The descriminant of this equation is negative; hence this equation has complex roots.
    The roots are given by m=2i or -2i

    The complementary ...

    Solution Summary

    General solutions to the differential equations are provided. The solution is detailed and well presented.

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