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!

Laplace transform of exponential function

  1. Sep 29, 2009 #1
    I'm trying to find the laplace transform (if possible) of exp(-2r/a)r^2.

    ---

    I did integration by parts to check that the integral of exp(-2r/a)r^2 from 0 to infinity is a^3 / 4. but i cannot get the laplace transform to work out. the answer mathematica online gives would have to have the term in the denominator "as" = 0 for the whole thing to become a^3 / 4. i'm trying to figure out how this would happen, and if you can even do the laplace transform for this in the first place.

    http://www.wolframalpha.com/input/?i=LT+e^(-2t/a)+t^2+
     
  2. jcsd
  3. Sep 29, 2009 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    The whole thing isn't a^3/4. It's a function of s. I agree with Mathematica.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Laplace transform of exponential function
Loading...