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method. (a) 1 (s-a)(s-b) s² +1

method. (a) 1 (s-a)(s-b) s² +1

Advanced Engineering Mathematics
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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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) -
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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