1. Not finding help here? Sign up for a free 30min 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!

Laplace Transform

  1. May 4, 2007 #1
    Hi all,

    Just a small question:
    I came across a problem to solve a differential equation using Laplace transform.

    I solved the major part but only still a part where I had to inverse transform the following experssion:

    (exp(-s))/(s^2)

    I looked in Laplace Transform Tables but did not find it.

    Could you please help?
     
  2. jcsd
  3. May 7, 2007 #2

    tpm

    User Avatar

    think i got it..

    you're looking for the integral..

    [tex] (2\pi i)^{-1} \oint ds exp(-st-s)/s^{2} [/tex]

    now using 'Residue theorem' you get...

    [tex] f(t)=0 [/tex] iff t<1 and f(t)=t/2 [/tex] iff t>1.


    depending on if you take the semi-circle (-T,0) or (0,T) with T--->oo , there is a double pole at s=0
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Laplace Transform
  1. Laplace transform (Replies: 2)

  2. Laplace transform (Replies: 1)

  3. Laplace Transformation (Replies: 3)

  4. A Laplace transform (Replies: 8)

  5. Laplace Transform (Replies: 1)

Loading...