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    Solving Second Order Linear Differential Equation by Using D-operator

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    Use D-operators to find a particular solution to the differential equation:
    y^n + y' - 2y= e^-2x

    Hence write its general solution. Find the solution that satisfies the initial conditions:
    y(0) = 1/3, y'(0) = -1/3

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    Solution Preview

    The characteristic equation is

    so the complementary solution will be


    Solution Summary

    This solution explains how to find particular solution of second order linear differential equation by using D-operator with step-by-step workings and clear explanations.