L{f(t)} = e-stf(t) dt is said to be the Laplace transform of f, pro L{f(t)}. (Write your answer as a function of s Scos(t), 0 st

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
L{f(t)} =
e-stf(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) = cos(t),
10,
0 st< T
L{f(t)} =
(s > 0)
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 L{f(t)} = e-stf(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) = cos(t), 10, 0 st< T L{f(t)} = (s > 0)
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