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!

Find the inverse Laplace transform?

  1. Aug 8, 2013 #1
    1. The problem statement, all variables and given/known data
    Find the inverse Laplace transform of F(s)=(8s^2-4s+12)/(s(s^2+4)).

    2. Relevant equations
    L^-1 (3/s)+L^-1 ((5s-4)/(s^2+4))
    =3+ (Now I'm stucked.)

    3. The attempt at a solution
    The answer is f(t)=3-2 sin 2t+5 cos 2t.
  2. jcsd
  3. Aug 8, 2013 #2


    User Avatar
    Homework Helper

    \frac{5s - 4}{s^2 + 4} = 5\frac{s}{s^2 + 4} - 2\frac{2}{s^2 + 4}

    Hopefully you should recognise the two terms on the right hand side as being Laplace transforms.
  4. Aug 9, 2013 #3
    Yes, I did. Thank you.
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: Find the inverse Laplace transform?