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    Initial-Value Problem Solved

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    Solve the IVP:
    y'' + 4y' +13y = 13t2 -5t +24 +e^-2t(sin 3t)

    © BrainMass Inc. brainmass.com October 9, 2019, 10:11 pm ad1c9bdddf


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    Step 1: Find the general solution to the homogenous problem where the RHS is 0.

    Let . Then . This has roots . This gives the solution .

    Step 2: Find a particular solution to the full problem by using suitable "guesses".
    In this case, the guess will look like:
    (Note: we need the "t" in front of the last term because the solution to the homogenous ...

    Solution Summary

    The expert examines initial value problems solved.