Use this technique to find the inverse Laplace transform of the functions given in Exercises 11–14. 1 12. Y(s) (s – 1)6
Use this technique to find the inverse Laplace transform of the functions given in Exercises 11–14. 1 12. Y(s) (s – 1)6
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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Please see question 12 attached. Thank you.
Transcribed Image Text:The terminology transform pair is popular with engineers, and
notation such as
y(t) → Y (s)
is used to denote a transform pair. For example, et >
1/(s – a). Using this notation, if y(t) → Y(s) is a transform
pair, then Proposition 2.12 tells us that eat y(t) → Y (s – a) is
a transform pair. For example, because
S
cos 2t →
s² + 4'
Proposition 2.12 tells us that
s – 3
e3t
cos 2t →
|
(s – 3)² +4'
-
Use this technique to find the inverse Laplace transform of the
functions given in Exercises 11–14.
1
12. Y(s) =
(s – 1)6
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