s? 1 +65
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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Question
Please provide a step-by-step solution. Thank you.
![Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.)
1
¹{5² +65)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43fa2ca5-470f-4bea-9de8-52e8db7a7191%2F47f10be8-153d-4eef-becf-9cda166c0d67%2Fg74y2fh_processed.png&w=3840&q=75)
Transcribed Image Text:Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.)
1
¹{5² +65)
![Some Inverse Transforms
(b) = -1.
n!
(d) sin kt L-1
(f) sinh kt =
2-14;
L
k
+k²
$2
n = 1, 2, 3, ...
k
(a) 1 = L-
k²
= 2 - ( - ))
(e) cos kt = L
2-₁ 3² + 1²
2-1 13
(c) eat =
(g) cosh kt = L-
S
5²-k²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43fa2ca5-470f-4bea-9de8-52e8db7a7191%2F47f10be8-153d-4eef-becf-9cda166c0d67%2Fye6jb9b_processed.png&w=3840&q=75)
Transcribed Image Text:Some Inverse Transforms
(b) = -1.
n!
(d) sin kt L-1
(f) sinh kt =
2-14;
L
k
+k²
$2
n = 1, 2, 3, ...
k
(a) 1 = L-
k²
= 2 - ( - ))
(e) cos kt = L
2-₁ 3² + 1²
2-1 13
(c) eat =
(g) cosh kt = L-
S
5²-k²
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