ying Theorem 3.7 (co= 데 1 [(s-4) (s-3).

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.5: Applications Of Inner Product Spaces
Problem 91E
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Question
1b Differential Equations Section 3.3
1. Evaluate the anti-Laplace transform applying Theorem 3.7 (convolution theorem).
a) [¹
c) [¹
2₁ [ ]
1
(s— 5)²
e) L-¹
1
s(s-3)
g) I-¹
1
-2)
1
s(s² -1)_
obaq
b) I¹
L'
d) L-¹
[¹
f) L-¹
[₁
h) L¹
1
(s-4)(s-3)
S
(s² +1)(s²+4)
1
S³ (S²+3)
5.²
+ 1)²
Transcribed Image Text:1. Evaluate the anti-Laplace transform applying Theorem 3.7 (convolution theorem). a) [¹ c) [¹ 2₁ [ ] 1 (s— 5)² e) L-¹ 1 s(s-3) g) I-¹ 1 -2) 1 s(s² -1)_ obaq b) I¹ L' d) L-¹ [¹ f) L-¹ [₁ h) L¹ 1 (s-4)(s-3) S (s² +1)(s²+4) 1 S³ (S²+3) 5.² + 1)²
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