Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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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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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