Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) *132 S s² + 35 - 4

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 71E
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the second picture is the Theorem 7.2.1

Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.)
*132
S
s² + 35
- 4
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.) *132 S s² + 35 - 4
Some Inverse Transforms
(b) t = L-
(d) sin kt =
n!
S²+1
(f) sinh kt =
2-1 {
L
k
s²+k²
- 2 - 1 3
L-
n = 1, 2, 3, ...
k
(a) 1 =
k²
L
(c) eat = L
· L-{- + d}
a
S
[+]
s² + k²
(e) cos kt = -1
(g) cosh kt L₁
S
(²)
k²
Transcribed Image Text:Some Inverse Transforms (b) t = L- (d) sin kt = n! S²+1 (f) sinh kt = 2-1 { L k s²+k² - 2 - 1 3 L- n = 1, 2, 3, ... k (a) 1 = k² L (c) eat = L · L-{- + d} a S [+] s² + k² (e) cos kt = -1 (g) cosh kt L₁ S (²) k²
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