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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

    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).

    © BrainMass Inc. brainmass.com February 24, 2021, 2:35 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/laplace-transform-solve-initial-value-problem-30372

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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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