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Laplace Transform question

  1. Mar 9, 2009 #1
    1. The problem statement, all variables and given/known data
    L{sinh(bt)}


    2. Relevant equations
    sinh(bt)=(e^bt-e^-bt)


    3. The attempt at a solution
    so the answer says it's b/(s^2-b^2)

    but get get that far.. here's what i have

    ...

    1/2L{e^bt}+1/2L{e^-bt}

    = 1/2[e^((s-b)t)-e^((s+b)t)]
     
  2. jcsd
  3. Mar 9, 2009 #2

    lanedance

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    Homework Helper

    first sinh(bt)=(e^bt-e^-bt))/2

    not sure what you are doing here, I just went to the Tables & see
    [tex] L(e^{-\alpha t}}) = \frac{1}{s+\alpha} [/tex]

    can you show this? and use it?
     
  4. Mar 9, 2009 #3
    yeah, we weren't supposed to use the table...
     
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