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    Nonhomogenous Second Order Linear Differential Equation

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    Please find the particular solution for xe^x in this problem and show all details.

    d²y/dx² - y = xe^x.

    © BrainMass Inc. brainmass.com December 24, 2021, 5:49 pm ad1c9bdddf

    Solution Preview

    Here is the solution.

    d^2/dx^2 -y = x e^x

    This can be written as (D^2 -1) y = xe^x, where D = dy/dx

    Auxiliary solution is ...

    Solution Summary

    The particular solution for a nonhomogenous second order linear differential equation is found. The solution is detailed and well presented.