Theorem 10.3.3 Let f be in E(0, o0). If f is periodic on [0, 00) with period T, then 1 L[f] e-st f (t)dt. - e-sT
Theorem 10.3.3 Let f be in E(0, o0). If f is periodic on [0, 00) with period T, then 1 L[f] e-st f (t)dt. - e-sT
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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Use Theorem10.3.3,together with the fact that f(t) = cosat. is periodic on the interval [0,2π/a], to determine L[f].
![Theorem 10.3.3
Let f be in E(0, o0). If f is periodic on [0, 00) with period T, then
1
L[f]
e-st f (t)dt.
- e-sT](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca66f7f5-862e-410f-8124-be41ebfee992%2F41c27ba0-fba4-44e3-8e8c-ec4723594f08%2Fgdz1esd.jpeg&w=3840&q=75)
Transcribed Image Text:Theorem 10.3.3
Let f be in E(0, o0). If f is periodic on [0, 00) with period T, then
1
L[f]
e-st f (t)dt.
- e-sT
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is periodic on the interval .
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