Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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
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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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Step 1: Define the convolution property
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Step 2: Determine the required inverse Laplace transform using the convolution property
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