Consider the function: f(t) = ekt [cosh(2kt) – H(t – a)(t – b)] %3D What is the Laplace Transform of said function? Seleccione una: s + k e-a(k+s) e-a(k+s) (a – b) а. - (s + k)2 – 4k2 (s + k)² (s + k)? s - k ea(k-s) ea(k-s) (a – b) b. (s – k)? – 4k2 (s – k)2 (s – k) - s + k ea(s-k) 1 а — Ь с. + (s + k)? – 4k2 (s + k)2 | (s+k)? (s + k)² s – k 1 a – b + d. - e-a(k-s) (s – k)? – 4k2 (s – k)² (s – k). |
Consider the function: f(t) = ekt [cosh(2kt) – H(t – a)(t – b)] %3D What is the Laplace Transform of said function? Seleccione una: s + k e-a(k+s) e-a(k+s) (a – b) а. - (s + k)2 – 4k2 (s + k)² (s + k)? s - k ea(k-s) ea(k-s) (a – b) b. (s – k)? – 4k2 (s – k)2 (s – k) - s + k ea(s-k) 1 а — Ь с. + (s + k)? – 4k2 (s + k)2 | (s+k)? (s + k)² s – k 1 a – b + d. - e-a(k-s) (s – k)? – 4k2 (s – k)² (s – k). |
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 function on the image:
What is the Laplace Transform of said function?
Show steps.
![Consider the function:
f(t) = ekt [cosh(2kt) – H(t – a)(t – b)]
What is the Laplace Transform of said function?
Seleccione una:
s + k
e-a(k+s) (a – b)
e-a(k+s)
a.
-
(s + k)2 – 4k2
(s + k)²
(s + k)?
ea(k-s)
ea(k-s) (a – b)
(s – k)
s - k
b.
(s – k)² – 4k2
(s – k)2
-
s + k
ea(s-k)
а —b
1
+
с.
(s + k)? – 4k2
(s + k)2 | (s+k)?
(s + k)²
s – k
1
a – b
+
d.
-e-a(k-s)
-
(s – k)² – 4k²
(s – k)²
(s – k).
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f00537e-baa6-439f-bedf-11bce67772b2%2F073feb73-0b5c-4061-b9d6-0c43c21e6c66%2Fapsb8c8_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function:
f(t) = ekt [cosh(2kt) – H(t – a)(t – b)]
What is the Laplace Transform of said function?
Seleccione una:
s + k
e-a(k+s) (a – b)
e-a(k+s)
a.
-
(s + k)2 – 4k2
(s + k)²
(s + k)?
ea(k-s)
ea(k-s) (a – b)
(s – k)
s - k
b.
(s – k)² – 4k2
(s – k)2
-
s + k
ea(s-k)
а —b
1
+
с.
(s + k)? – 4k2
(s + k)2 | (s+k)?
(s + k)²
s – k
1
a – b
+
d.
-e-a(k-s)
-
(s – k)² – 4k²
(s – k)²
(s – k).
-
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