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    Nonhomogeneous initial-value problem

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    Please show all steps to solution.

    a) Find a particular solution to the nonhomogeneous equation y''''-y'''-y''-y'-2y=8x^5

    Write out the general solution.

    b) Use the solution to problem A to solve the initial-value problem y''''-y'''-y''-y'-2y=8x^5

    where y(0)=y'(0)=y''(0)=y'''(0)=y''''(0)=5

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    Solution Summary

    This provides an example of finding a particular solution and using that to write the general solution and solve an initial value problem.