Step function/laplace transform help

  • Thread starter seang
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  • #1
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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:

Answers and Replies

  • #2
Tom Mattson
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OK, that means you're going to have 3 integrals. Can you set them up?
 
  • #3
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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.
 
  • #4
Tom Mattson
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Science Advisor
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Sorry :redface:
 

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