Consider the following function: (image 1) What is the function f (t) whose Laplace transform is the given function? (image 2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following function: (image 1)
What is the function f (t) whose Laplace transform is the given function? (image 2)
F(s) = In
"(s(s+k),
Transcribed Image Text:F(s) = In "(s(s+k),
1+e-k – 2 cos(kt)
a. f(t) =
t
2 cos(kt) – 1- e kt
b. f(t) =
t
2 cos(kt) – 1- ekt
c. f(t) =
t
1+et – 2 cos(kt)
d. f(t)
t
Transcribed Image Text:1+e-k – 2 cos(kt) a. f(t) = t 2 cos(kt) – 1- e kt b. f(t) = t 2 cos(kt) – 1- ekt c. f(t) = t 1+et – 2 cos(kt) d. f(t) t
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