1 Y(s) = e 58. s² (s² + 1) Find the Inverse Laplace Transform of Y(s) to get the solution y(t) = L-¹{Y(s)} The following partial fraction formula should be useful 1 (s² + A) (s² + B) 1 1 B-A B-A + s² + A s² + B' A ‡ B

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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1
Y(s) = e 5s.
s² (s² + 1)
Find the Inverse Laplace Transform of Y(s) to get the solution y(t) = L-¹{Y(s)}
The following partial fraction formula should be useful
1
(s² + A) (s² + B)
1
1
B-A
B-A
+
s² + A s² + B'
A ‡ B
Transcribed Image Text:1 Y(s) = e 5s. s² (s² + 1) Find the Inverse Laplace Transform of Y(s) to get the solution y(t) = L-¹{Y(s)} The following partial fraction formula should be useful 1 (s² + A) (s² + B) 1 1 B-A B-A + s² + A s² + B' A ‡ B
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