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    Laplace Transform

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    Example 1: Solve using Laplace Transform

    Answer: First, apply the Laplace Transform

    Knowing that
    ,
    and

    we get

    After easy algebraic manipulations we get
    ,
    which implies

    Next, we need to use the inverse Laplace.
    We have (see the table)

    For the second term we need to perform the partial decomposition technique first.
    .
    We get

    Hence, we have

    Since (see the table)

    and (see the table)

    Finally, we have

    http://webpages.dcu.ie/~applebyj/ms224/BT2_LAP.pdf

    http://www.sosmath.com/diffeq/laplace/basic/basic.html

    © BrainMass Inc. brainmass.com June 3, 2020, 11:56 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/laplace-transform-309131

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    Solution Summary

    Laplace Transform is utilized to calculate functions.

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