Let f be a function defined for t 2 0. Then the integral is said to be the Laplace transform of f, provided that the integral converges. Find <{f(t)). (Write your answer as a function of s.) Įt, ost<1 l1, f(t) = t21 L{{t)} (s > 0)

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DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for t > 0. Then the integral
is said to be the Laplace transform of f, provided that the integral converges.
Find <{f(t)}. (Write your answer as a function of s.)
St, ost<1
f(t) =
l1,
t21
L{{t)}
(s > 0)
Transcribed Image Text:DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral is said to be the Laplace transform of f, provided that the integral converges. Find <{f(t)}. (Write your answer as a function of s.) St, ost<1 f(t) = l1, t21 L{{t)} (s > 0)
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