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    Solving Differential Equations : Laplace Transforms

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    Using laplace transforms solve the following problems:

    1. Find Y(t) if

    Y'''' + 2Y'' +Y = 3 + cos 2t

    with Y(0) = Y'(0) = Y''(0) = Y'''(0) please show the partial fraction expansion and how it was obtained..do not need to invert.

    replace cos2t with f(t) and show that solution.

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    Solution Summary

    Laplace transforms are investigated and differential equations are solved. The solution is detailed and well presented.