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Laplace Transform

  1. Jan 30, 2012 #1
    Hi guys,

    Would you help me in finding how Laplace transform is done for equation (1) in the attached image?
    Equation (2) is the correct solution but I don't know how we get it!
    I know that we can split the integration in (1) into two parts; one is from t0 to 0 and the other part is from 0 to t, but i couldn't find it Laplace transform too.

    Thank you
     

    Attached Files:

  2. jcsd
  3. Feb 1, 2012 #2
    wikipedia's article for Laplace transforms will show you that the transform of an integral of x(t') from 0 to t gives X(s)/s. Use this rule to get term 1 in eq2. term 2 is the left-over bit, and term 3 is the transform of a constant which is the constant*1/s
     
  4. Feb 3, 2012 #3
    thnx guys for replying. My problem is actually with that left-over term which I don't know how we get!
     
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