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Homework Help: Laplace transform with f(t)=t

  1. Nov 3, 2009 #1
    1. The problem statement, all variables and given/known data
    This is my first post, so bear with me. I have seen others who have posted their questions and the problem looked like it was typed in mathcad or something. How do I do that?

    Ok so I'm trying to figure out how to solve a piecewise Laplace transform when f(t)=t

    the actual problem is

    f(t)={t, 0<t<1 (should be read as 0 less than or equal to t...)
    {1, t>1 (should be read as t greater than or equal to 1)


    2. Relevant equations

    L{f(t)}= integral of e-stf(t)dt





    3. The attempt at a solution

    My attempt. Please help me figure out how I can make this show up as it would in person. (with the integral sign, exponents, etc.)

    =integral from 0 to 1 of e-sttdt + integral from 1 to infinity of e-stdt

    =-1/s(e-s)(1/2) + 1/s(e-s)

    =(-e-s/2) + ((1/s)e-s)


    the correct answer should be =(1/s2) - (e-s/s2)

    I appreciate the patience everyone.
     
  2. jcsd
  3. Nov 3, 2009 #2
    wait wait don't tell me. I've almost got it.
     
  4. Nov 3, 2009 #3
    I'm an idiot and forgot basic calculus rules.

    /thread
     
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