(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Derive the Laplace transform of the following functions, using first principles

3d) [tex]u(t - T) \} = 0, \ t<T \ (= 1, t>T) [/tex]

3e) [tex]f(t) = e^{-a(t-T)}u(t-T)[/tex]

2. Relevant equations

see above

3. The attempt at a solution

I know I need to derive the transform using by integration using this:

L(f) = [tex]\int^\infty_{0} \mbox{f(t) e^{-st}} \ dt[/tex]

but I don't understand the notation, is T the laplace transform of t ? Is u the unit step function? so u(s) = 1/s ?

If someone could explain this to me please?

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# Homework Help: Deriving Laplace Transforms

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