Explore BrainMass

Explore BrainMass

    Laplace Transform

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Example 1: Solve using Laplace Transform

    Answer: First, apply the Laplace Transform

    Knowing that

    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



    © BrainMass Inc. brainmass.com June 3, 2020, 11:56 pm ad1c9bdddf


    Solution Preview

    Hello and thank you for posting your question to Brainmass!
    The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe pdf format. Therefore you can choose the format that is most ...

    Solution Summary

    Laplace Transform is utilized to calculate functions.