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Laplace transform

  1. Mar 27, 2009 #1
    1. The problem statement, all variables and given/known data
    (1 pt) Given that

    L(cos(5t)/(pi*t)^.5)=exp(-5/s)/sqrt(s)

    find the Laplace transform of .

    sqrt(t/pi)cos(5t)



    2. Relevant equations
    I honestly have no idea. There is the integral of f(t)exp(-st) though


    3. The attempt at a solution

    Ive tried many reasonings. One, I thought that maybe finding the laplace trans of sqrt(t/pi) and replace 1/sqrt(s) with that because I know 1/sqrt(s) is the transform pof 1/sqrt(pi*t). However this is wrong. Can someone give me any pointers? this is the only problem i cant solve in my set!!
     
  2. jcsd
  3. Mar 27, 2009 #2

    djeitnstine

    User Avatar
    Gold Member

    Try using the convolution theorem
     
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