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Laplace transform

  1. Dec 14, 2008 #1
    1. The problem statement, all variables and given/known data

    Find the laplace transform of t sin(t) and t cos(t), and the inverse transform of [tex]\frac{1}{(1+s^2)^2}[/tex]

    2. The attempt at a solution

    I found the two laplace forms:




    I guess I'm supposed to use the two laplace transforms to find the inverse of this one, but I don't know how to do that.
  2. jcsd
  3. Dec 14, 2008 #2
    You can try convolution... doesn't look hard. I partially solved it.
  4. Dec 14, 2008 #3


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    Hint: what is the Laplace transform of [itex]\sin(t)[/itex]?
  5. Dec 14, 2008 #4
    This is the best table I found if you need a quick answer in your research or to check your answer: http://www.vibrationdata.com/Laplace.htm.

    For example check out 2.18, 2.20, and 2.21
  6. Dec 14, 2008 #5
    [tex]\frac{1}{s^2 + 1}[/tex]
  7. Dec 14, 2008 #6


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    Right, and so what is [tex]\mathcal{L}[\sin(t)-t\cos(t)][/tex]?:wink:
  8. Dec 14, 2008 #7
    Lol, it's so easy when you know the answer. One must be evil to give such a problem for the exam.
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