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Inverse Laplace Transform

  1. Nov 19, 2015 #1
    1. The problem statement, all variables and given/known data
    L-1{3/s1/2}

    2. Relevant equations


    3. The attempt at a solution
    3L-1{1/s1/2}

    3L-1{(1/sqrt(π))(sqrt(π)/(sqrt(s))}

    3/(sqrt(π))L-1{(sqrt(π))/(sqrt(s))}

    3/(sqrt(π))(1/(sqrt(t))

    This is what I got from the solution for this problem. What tipped them off to multiply by sqrt(π)? And which Laplace transform did they use to go from L-1{sqrt(π)/sqrt(s)} to 1/sqrt(t)? I can't seem to find the right one on my table.Thanks!
     
  2. jcsd
  3. Nov 19, 2015 #2

    Mark44

    Staff: Mentor

    See http://tutorial.math.lamar.edu/classes/de/laplace_table.aspx. #6 looks like it would work here.
     
  4. Nov 19, 2015 #3
    Ok! So what is n in this case? Does n=0?
     
  5. Nov 19, 2015 #4

    Mark44

    Staff: Mentor

    Yes
     
  6. Nov 19, 2015 #5
    Thanks!
     
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