Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 0. Then the integral LERE)} = e-str(t) dt is said to be the Laplace transform of f, provided that the integral converges. to find L{f(t)}. (Write your answer as a function of s.) f(t) = e-t sin t L{(t)} = (s > -1)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use Definition 7.1.1.
DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for t 0. Then the integral
LEf(t)} =
e-str(t) dt
is said to be the Laplace transform of f, provided that the integral converges.
to find L{f(t)}. (Write your answer as a function of s.)
f(t) = e-t sin t
L{(t)} =
(s > -1)
Transcribed Image Text:Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 0. Then the integral LEf(t)} = e-str(t) dt is said to be the Laplace transform of f, provided that the integral converges. to find L{f(t)}. (Write your answer as a function of s.) f(t) = e-t sin t L{(t)} = (s > -1)
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