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 Transformation issue

  1. Nov 23, 2016 #1
    • Moved from a technical forum, so homework template missing
    Dear PF members.
    I am requesting again your help as I keep struggling with the LaPlace transformation.
    I have this exercise to do(please see below)
    Capture.PNG

    We know that L[f(t)]= integral from 0 to infinity of f(t)*e^(-st) dt
    thus in our case, L[f(t)]= integral from 0 to infinity of sin(t)*e^(-st) dt

    I tried doing it by parts twice, however I can't reach their answer.Please look below
    Capture2.PNG
    Could you please show me how to solve it?

    Thank you in advance.
     
  2. jcsd
  3. Nov 23, 2016 #2
    Which part are you struggling with? Isn't your second attachment already the worked-out solution?
     
  4. Nov 25, 2016 #3

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

    It is against PF rules for us to "show you how to solve it". At most, we can offer hints. However, since you have already done all the work, I can tell you that your final answer is correct.

    Furthermore, the way you did it is one of the ways I would have done it; the other way would have been to write ##\sin(t) = (e^{it} - e^{-it})/(2i)## and integrate the two terms separately.
     
  5. Nov 28, 2016 #4
    Thank you very much for confirming.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: LaPlace Transformation issue
  1. Laplace issue (Replies: 2)

  2. Laplace Transforms (Replies: 41)

  3. Laplace transform (Replies: 4)

Loading...