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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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)
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
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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