fine laplace transforms of : (t-1) u(t-1)
Time-displacement theorem:
g(t−a)u(t−a)→e−asG(s)g(t-a) u(t-a)\to e^{-as}G(s)g(t−a)u(t−a)→e−asG(s)
so:
(t−1)u(t−1)→se−s(t-1) u(t-1)\to se^{-s}(t−1)u(t−1)→se−s
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