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f(t) = ekt [cosh(2kt) – H(t – a)(t – b)] %3D

f(t) = ekt [cosh(2kt) – H(t – a)(t – b)] %3D

Advanced Engineering Mathematics
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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Consider the following function: 

What is the Laplace transform of the given function?

 

Select one:

f(t) = ekt [cosh(2kt) – H(t – a)(t – b)] %3D
Transcribed Image Text:f(t) = ekt [cosh(2kt) – H(t – a)(t – b)] %3D
s + k ea(s-k) а — b a. (s + k)² – 4k² (8 + k)² [ (s+k)² (s + k)²] 2 8 – k ea(k–s) ea(k-s) (a – b) b. (8 – k)² – 4k2 (s – k)? (8 – k) 8 - k (8 – k)² – 4k² a – b (s – k) 1 С. e a(k-s) (8 – k)² e a(kts) (s + k)2 e a(k+s) (a – b) (s + k)? 8 + k d. | (s + k)² – 4k²
Transcribed Image Text:s + k ea(s-k) а — b a. (s + k)² – 4k² (8 + k)² [ (s+k)² (s + k)²] 2 8 – k ea(k–s) ea(k-s) (a – b) b. (8 – k)² – 4k2 (s – k)? (8 – k) 8 - k (8 – k)² – 4k² a – b (s – k) 1 С. e a(k-s) (8 – k)² e a(kts) (s + k)2 e a(k+s) (a – b) (s + k)? 8 + k d. | (s + k)² – 4k²
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