Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) 1 {-} L

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 19E
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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
{-}
L
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 {-} L
Some Inverse Transforms
(b) = -1.
n!
(d) sin kt = L
+1
k
s²+k²
(f) sinh kt = 9-1
n = 1, 2, 3, ...
(a) 1 = L-1
k
S² k²
(c) et = -1.
(e) cos kt = L-1
(g) cosh kt = L-1
Transcribed Image Text:Some Inverse Transforms (b) = -1. n! (d) sin kt = L +1 k s²+k² (f) sinh kt = 9-1 n = 1, 2, 3, ... (a) 1 = L-1 k S² k² (c) et = -1. (e) cos kt = L-1 (g) cosh kt = L-1
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