Laplace transform of s² + 3s - 7/ ((s-1)(s²+2))
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Definition 1. Given a function F(s), if there is a function f(t) that is continuous on
[0, ∞) and satisfies
L{f}(s) = F(s),
then we say that f(t) is the inverse Laplace transform of F(s) and employ the notation
f(t) = L
−1{F}(t).
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