Compute the inverse Laplace tranform of (a) G(s) = = 18 54-9 S (b) F(s) = 3² +45 +40

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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Compute the inverse Laplace tranform of
(a) G(s)=
18
54-9
S
(b) F(s) = 3² +45 +40
Transcribed Image Text:Compute the inverse Laplace tranform of (a) G(s)= 18 54-9 S (b) F(s) = 3² +45 +40
Expert Solution
Step 1: Given the information

The given Laplace function,

(a) G open parentheses s close parentheses equals fraction numerator 18 over denominator s to the power of 4 minus 9 end fraction

(b) F open parentheses s close parentheses equals fraction numerator s over denominator s squared plus 4 s plus 40 end fraction.

The aim is to find the inverse Laplace transform of the given functions.

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