Question

oblem #1 Given a time domain pulse, describe it as a sum of time-domain functions. Apply Laplace transform and find Laplace tSo the time domain for this is v(t) = (1-cos(10pi))[u(t) - u(t-0.1)] + 2[u(t-0.1) - u(t-0.15)] + (-40t+0.2)[u(t-0.15) - u(t-0.25)] + (-2)[u(t-0.25)-u(t-0.3)] + (2e^(-5(t-0.3)))[u(t-0.3)]

but the equation was reduced before converting into S-domain and it was reduced to :

v(t) = (-cos(10pi))u(t) + u(t) + cos(10pi)u(t-0.1) + u(t-0.1) - 40(t-0.1))u(t-0.15) + 40(t-0.25)u(t-0.25) + 2u(t-0.3) + 2e^(-5(t-0.3))u(t-0.3)

How do you adjust the time delay? Not sure if I understand how it was done, if you can show and explain step by step how to get that answer please.

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So the time domain for this is v(t) = (1-cos(10pi))[u(t) - u(t-0.1)] + 2[u(t-0.1) - u(t-0.15)] + ...
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