Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Inverse Laplace Transform

  1. Sep 27, 2010 #1
    1. The problem statement, all variables and given/known data
    Take the Inverse Laplace Transform of: [tex]Y(s)=\frac{1}{\tau s+1}\cdot \frac{1}{s}[/tex]

    2. The attempt at a solution
    I know:
    [tex]L^{-1}(\frac{1}{\tau s+1})=\frac{1}{\tau}e^{\frac{-t}{\tau}}[/tex]
    and:
    [tex]L^{-1}({\frac{1}{s}})=1[/tex]

    But how to continue?
     
  2. jcsd
  3. Sep 27, 2010 #2

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Factor tau out of the denominator of the first fraction in Y(s) and use partial fraction expansion to break Y(s) into the sum of two simple fractions.
     
  4. Sep 27, 2010 #3
    Awesome, thanks a lot!
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook