I didn't know how to do a 3 part piecewise function in latex, but I have f(x) defined as(adsbygoogle = window.adsbygoogle || []).push({});

[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.

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# Homework Help: Step function/laplace transform help

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