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    Particular Solution for a Nonhomogenous Linear Differential Equation

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    I am not sure how to find the particular solution for the sin(t) part of the equation:

    d²y/dt² - 9y = sin(t)

    Please show all the details.

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    Solution Summary

    A particular solution for a nonhomogenous second order linear differential equation is found. The solution is detailed and includes the homogeneous solution as well for reference.