Q1: By employing convolution theorem, evaluate the following: s (4) L-¹ +as +bJia #b (5) I-¹ 1 (1) Z-¹ (s +1)(s +1) S (2) (1) [¹ (s+1) (s? - 1 (s' +a?) (3) 11 (6) L-¹ s?(s+1) 4s + 5 (S-1)² (s+2)

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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Q1: By employing convolution theorem, evaluate the following:
s?
(4) I-¹
+a° [s* +b>Ja #b
1
(1) I-¹
(s +1)(s +1)
(2) [¹
(3) I-¹
S
(s+1)(s' +1)
1
(s? +a?)
(5) I-¹
(6) L-¹
s?(s+1)
4s + 5
(s −1) (s +2)
Transcribed Image Text:Q1: By employing convolution theorem, evaluate the following: s? (4) I-¹ +a° [s* +b>Ja #b 1 (1) I-¹ (s +1)(s +1) (2) [¹ (3) I-¹ S (s+1)(s' +1) 1 (s? +a?) (5) I-¹ (6) L-¹ s?(s+1) 4s + 5 (s −1) (s +2)
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