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!

Homework Help: Laplace is hurting my brain

  1. Apr 18, 2004 #1
    OK, here's the problem


    What I did:


    The book says:

    Where did the [itex]2e^{2t}\sin{t}[/itex] come from?

  2. jcsd
  3. Apr 18, 2004 #2
    Mathematica is saying that it's neither of those...

  4. Apr 18, 2004 #3


    User Avatar
    Homework Helper

    The cannonical form has an (s+2) in the numerator, not just s (so your invesrse transform calculation was actually incorrect). In order to account for that, you have to add another rational function that has a numerator of -2, which just happens to be (-2) times the cannonical form with sin instead of cos.
  5. Apr 19, 2004 #4
    Thanks a lot. I missed about a month of Diff Eq due to illness and an auto accident so I've been learning it all on my own. I appreciate the Q&A forum here and all those who help out.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook