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Laplace transform : Solve an I.V.P.

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Suppose there was an IVP such as the following:


Where and how do you begin to set this problem up to be solved using the Laplace transform? The value y(4)(t) is the fourth derivative of function y(t).


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An IVP is solved using a Laplace transform. The solution is detailed and well presented. The solution received a rating of "5" from the student who posted the question.