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Laplace help

  1. Nov 17, 2009 #1
    1. The problem statement, all variables and given/known data
    find laplace transform of F(s)= (1/t)*(exp(2t)-1)


    2. Relevant equations

    stated answer: ln(s/(s-2))

    3. The attempt at a solution
    i really dont know where to start with laplace. my teacher has done a terrible job really jusut explaining the simplr process. Should i distrivute the 1/t first?? But the laplace of 1/t does not exist correct? so do i just integrate exp(-st)(exp(2t)/t)
     
  2. jcsd
  3. Nov 17, 2009 #2

    Dick

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    Science Advisor
    Homework Helper

    Right, the laplace transform of 1/t doesn't exist. But neither does the transform of exp(2t)/t. Look at the power series expansion of (exp(2t)-1)/t. The transform of that might exist.
     
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