Consider a piece-wise continuous function f such that f(t)e ¬stdt = e(7-s)t _ e(7-s)5 for all t > 5. (a) Determine the domain of the Laplace transform L(f) of f. (b) Compute the Laplace transform of f, in the case when f(t) = 10 for all t e [0, 5].
Consider a piece-wise continuous function f such that f(t)e ¬stdt = e(7-s)t _ e(7-s)5 for all t > 5. (a) Determine the domain of the Laplace transform L(f) of f. (b) Compute the Laplace transform of f, in the case when f(t) = 10 for all t e [0, 5].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Hi, i asked an expert for a solution to this question. I would like to know why the second term is included in b? (the -e^(7-s)5)
![Consider a piece-wise continuous function f such that
f(t)e
¬stdt = e(7-s)t _ e(7-s)5
for all t > 5.
(a) Determine the domain of the Laplace transform
L(f) of f.
(b) Compute the Laplace transform of f, in the case
when f(t) = 10 for all t e [0, 5].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2f0397d-6e37-4bc8-a063-97815b1f1672%2F94f00264-1aac-4e7a-b606-ef77db3728f1%2Feloqsis.png&w=3840&q=75)
Transcribed Image Text:Consider a piece-wise continuous function f such that
f(t)e
¬stdt = e(7-s)t _ e(7-s)5
for all t > 5.
(a) Determine the domain of the Laplace transform
L(f) of f.
(b) Compute the Laplace transform of f, in the case
when f(t) = 10 for all t e [0, 5].
Transcribed Image Text:Lep lace Tranform.
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10 e
35-5S
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10
35
-55
10
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10
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10 e
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e
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|
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