Explore BrainMass

Explore BrainMass

    Finding Inverse Laplace transforms of a function

    Not what you're looking for? Search our solutions OR ask your own Custom question.

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

    Finding the inverse Laplace transform of the function

    X(s) = s/{(s - 2)^1.5.(s^2 + 1)}

    Using partial fraction expansion and inverse laplace transforms of known functions.

    © BrainMass Inc. brainmass.com December 16, 2022, 7:51 am ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/finding-inverse-laplace-transforms-function-427947

    Solution Preview

    Finding the inverse Laplace transform of the function

    X(s) = s/{(s - 2)^1.5.(s^2 + 1)}

    Using partial fraction expansion and inverse laplace transforms of known functions

    See attachment for full solution

    Question : Find the inverse Laplace transform, call it , of the function

    Solution:

    We will write the function in a different form noting that can be written
    as thus

    So now we let the term be denoted by and the term be denoted by

    Now we look to expand into its constituent ...

    Solution Summary

    Finding the inverse Laplace transform of the function

    X(s) = s/{(s - 2)^1.5.(s^2 + 1)}

    Using partial fraction expansion and inverse laplace transforms of known functions

    $2.49

    ADVERTISEMENT