Let f be a function defined for t≥ 0. Then the integral = = 60 e-stf(t) dt L{f(t)} is said to be the Laplace transform of f, provided that the integral converges. to find £{f(t)}. (Write your answer as a function of s.) L{f(t)} = = f(t): = te e7t (s >7)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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)}
L{f(t)} =
=
[te
=
e-stf(t) dt
is said to be the Laplace transform of f, provided that the integral converges.
to find £{f(t)}. (Write your answer as a function of s.)
f(t) = te7t
(s > 7)
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)} L{f(t)} = = [te = e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. to find £{f(t)}. (Write your answer as a function of s.) f(t) = te7t (s > 7)
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