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Laplace transform : Solve an I.V.P.

Please see the attached file for the fully formatted problem.

Suppose there was an IVP such as the following:

where

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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Check out these excellent websites for even more information:

http://mathworld.wolfram.com/LaplaceTransform.html
http://mathworld.wolfram.com/Convolution.html
http://www.sosmath.com/diffeq/laplace/basic/basic.html
http://www.sosmath.com/diffeq/laplace/application/application.html

Suppose there was an IVP such as the following:

where

Where and ...

Solution Summary

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.

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