Evaluate the inverse Laplace transform s+8 ~²{; 4s + 29

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
13.
=
Evaluate the inverse Laplace transform
s+8
{
- 4s + 29
(5-2) +10
(5-2)² +25
=
2~^
L-1
2=²(
(5-2)
- (5-2)² +26)
-1
L
( (6-23³² +25 ) + 10 X = ² (6-27² +25)
ANS: e²t
cos (5t) + 2e²f Sin (5+)
Transcribed Image Text:13. = Evaluate the inverse Laplace transform s+8 { - 4s + 29 (5-2) +10 (5-2)² +25 = 2~^ L-1 2=²( (5-2) - (5-2)² +26) -1 L ( (6-23³² +25 ) + 10 X = ² (6-27² +25) ANS: e²t cos (5t) + 2e²f Sin (5+)
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