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    Solution to a Differential equation

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    Solve the Initial Value Problem y'' + 4y' + 5y = 35e^(-4x)
    given: y(0) = -3, y' (0) = 1

    © BrainMass Inc. brainmass.com March 4, 2021, 6:45 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/solution-differential-equation-59821

    Solution Preview

    The complementary function associated with the solution of this equation is found by using the auxiliary equation. Please see the attachment for the full description of the solution.

    We have y'' + 4y' + 5y = 35e-4x
    First we write the auxiliary equation, which is got by just replacing ...

    Solution Summary

    This solution explains a method to solve a second order differential equation with given initial value conditions.

    $2.49

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