Theorem 3 Let F(s) denote the transform of a function f(t) which is piecewise continuous for t> 0 and satisfies a growth

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Theorem 3 Let F S Denote The Transform Of A Function F T Which Is Piecewise Continuous For T 0 And Satisfies A Growth 1 (45.89 KiB) Viewed 36 times

Theorem 3 Let F(s) denote the transform of a function f(t) which is piecewise continuous for t> 0 and satisfies a growth restriction if(t) < Mekt Then, for s > 0, 8 >k, and t > 0, 1 = -F(s), thus f(T)dt = L-1 ${}, s<dr} l's() I 0 Using Theorem 3, find f(t) if L{F} equals: 6 - 6s 83 f(t) =