Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral 00 - S e-stf(t) е L{f(t)} = = f(t) 4 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.) L{f(t)} = (s > 0) dt 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
00
- S e-stf(t)
е
L{f(t)} = =
f(t) 4
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.)
L{f(t)} =
(s > 0)
dt
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 00 - S e-stf(t) е L{f(t)} = = f(t) 4 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.) L{f(t)} = (s > 0) dt 1
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