Question: If f(t) is continuous for t ¥ 0, the Laplace transform of f is the function F defined by and the domain of F is

If f(t) is continuous for t ‰¥ 0, the Laplace transform of f is the function F defined by

and the domain of F is the set consisting of all numbers s for which the integral converges. Find the Laplace transforms of the following functions.
a. f(t) = 1
b. f(t) = et
c. f(t) = t

Fs)f(ted

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a This converges to 1s only if s 0 Therefore Fs 1s with domain s ... View full answer

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