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
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Chapter2: Second-order Linear Odes
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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
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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