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Step function/laplace transform help

  1. Mar 27, 2006 #1
    I didn't know how to do a 3 part piecewise function in latex, but I have f(x) defined as

    [tex]0, t<0 [/tex]

    [tex]t-\Pi , \leq t < 2\Pi [/tex]

    [tex]0, t \geq 2\Pi[/tex]



    And I'm supposed to find the laplace transform of it. So I find the step function:

    [tex] h(t) = u_{\Pi} (t- \Pi) - u_{2 \Pi}(t-2 \Pi)} [/tex]

    So, Tom, if I need 3 integrals I guess I've already gone astray, what happened?
    EDIT: I think I might see what went wrong, This step function defines


    [tex]0, t<0 [/tex]

    [tex]t-\Pi , \leq t < 2\Pi [/tex]

    [tex]1, t \geq 2\Pi[/tex]

    pigs might fly?

    in which case I need

    [tex] h(t) = u_{\Pi} (t- \Pi) - u_{2 \Pi}(t)} - u_{2 \Pi}(t-2 \Pi)} [/tex]

    I'm suspicious of the middle term.
     
    Last edited: Mar 27, 2006
  2. jcsd
  3. Mar 27, 2006 #2

    Tom Mattson

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    OK, that means you're going to have 3 integrals. Can you set them up?
     
  4. Mar 27, 2006 #3
    Hey Just a minute! haha. I'm a tex noobie I've got a little more done than I've said so far, I'm just having trouble texing it.
     
  5. Mar 27, 2006 #4

    Tom Mattson

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