1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Inverse laplace transform with complex inversion theorm

  1. Sep 28, 2009 #1
    1. The problem statement, all variables and given/known data

    Find the inverse laplace transform of In(1+1/s)


    2. Relevant equations



    3. The attempt at a solution

    Using the complex inversion theorm, and the sum of the residues.

    The only residue is at s=0. and it is a simple pole of degree one.

    Therefore lim(s approaches 0)= s*In(1+1/s)e^st and since e^st at s=0 becomes 1, i get:

    lim(s approaches 0)=s*In(1+1/s)

    Now i have no idea what to do next. Usually i can find f(t) easily at this point but not with this function.

    (note: i have already found the answer using a power series and the derivative property,(1-e^-t)/t) i am trying to figure out how to proceed next with this method.)

    =
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Inverse laplace transform with complex inversion theorm
Loading...