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    Initial-Value Problem with Graph : Laplace Tranformations and Partial Fractions

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    For t>0, let F(t) be the Phi-periodic function which on [0,pi] has the graph attached to this problem.
    a) Solve the IVP
    y"+4y=F(t)
    y(0)=0=y'(0)
    b) Graph the solution on the interval [0,3pi]
    c) Discuss the behavoir of the solution in relation to the equation.

    For the solution please use Laplace transformations and partial fractions.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:25 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/initial-value-problem-graph-laplace-transformations-43910

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    Solution Summary

    An IVP is solved using a graph, an inverse laplace transformation, and partial fractions. The solution is graphed and discussed. The solution is detailed and well presented.

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