1/1², t> 1 2. If L[f(t)] = F(s) and c is any positive constant, show that L[f(ct)] = F(s/c)/c. (Hint: use the definition of Laplace transform, and use appropriate change of variable) b) Use part (a) to obtain L[cos(wt)] from L[cos(t)] = 21
1/1², t> 1 2. If L[f(t)] = F(s) and c is any positive constant, show that L[f(ct)] = F(s/c)/c. (Hint: use the definition of Laplace transform, and use appropriate change of variable) b) Use part (a) to obtain L[cos(wt)] from L[cos(t)] = 21
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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![1/1², t> 1
2. If L[f(t)] = F(s) and c is any positive constant, show that L[f(ct)] = F(s/c)/c. (Hint:
use the definition of Laplace transform, and use appropriate change of variable)
b) Use part (a) to obtain L[cos(wt)] from L[cos(t)] = 21](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13b8e596-45c0-434d-ab2b-ea5ebc953e71%2F05810c89-c7fd-4eec-b831-3e8fccb1105e%2F67uva92_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1/1², t> 1
2. If L[f(t)] = F(s) and c is any positive constant, show that L[f(ct)] = F(s/c)/c. (Hint:
use the definition of Laplace transform, and use appropriate change of variable)
b) Use part (a) to obtain L[cos(wt)] from L[cos(t)] = 21
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