method. (a) 1 (s-a)(s-b) s² +1
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:Exercises 1.10
1. Find L-¹ of the following transforms F(s) by the partial fraction
method.
1
S
(a)
(b)
(s-a)(s-b)
2s2 + s − 1
S
(c)
s²+1
s(s - 1)³
(d)
(s² + a²) (s² + b²) (a #b)
S
s+2
(s² + a²)(s²-b²)
(f)
s5-384 +2s³
2s² +3
(h)
(s + 1)²(s² + 1)2²
8(83
s² + s +3
6s² + 5s +12)
-
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