Some Inverse Transforms (a) 1 = -1 {} n! (b) t=L- n = 1, 2, 3,... (c) eat= = (d) sin kt = L- (f) sinh kt = L-1 k s² + k² k - k2 (e) cos kt = L cosh kt = L-1 S s² + k² S | s² – k² - Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) S - (s − 3)(s – 4)(s – 12), -
Some Inverse Transforms (a) 1 = -1 {} n! (b) t=L- n = 1, 2, 3,... (c) eat= = (d) sin kt = L- (f) sinh kt = L-1 k s² + k² k - k2 (e) cos kt = L cosh kt = L-1 S s² + k² S | s² – k² - Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) S - (s − 3)(s – 4)(s – 12), -
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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Transcribed Image Text:Some Inverse Transforms
(a) 1 = -1
{}
n!
(b) t=L-
n = 1, 2, 3,...
(c) eat=
=
(d) sin kt = L-
(f) sinh kt =
L-1
k
s² + k²
k
-
k2
(e) cos kt =
L
cosh kt
=
L-1
S
s² + k²
S
| s² – k²
-
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.)
S
-
(s − 3)(s – 4)(s – 12),
-
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