9. G(t) = e2-t U(t- 2) 10. Given this period function: Sawtooth function b 2b 3b 4b
9. G(t) = e2-t U(t- 2) 10. Given this period function: Sawtooth function b 2b 3b 4b
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Answer 9 and 10. HANDWRITTEN
![Evaluate the Laplace transform of the following:
1. Prove: L{e-at cos kt} =
2. f(t) = e-3t(1+ sin 4t – 2t2)
3. f(t) = (t+ 1)sin (t + 2)
4. f(t) = 2(t + 3)e-(t+5)
5. f(t) = cos? t
6. L{te2t sin 6t}
sta
(s+a)2+k2
using the integration process.
7. L{S,r cos t dt}
(1, 0st<4
8. G(t) = }0, 4<t <5
9. G(t) = e2-t U(t - 2)
10. Given this period function:
Sawtooth function
2b 3b 4b](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01678e5f-48f5-4d64-aa90-28bc7b500125%2Fceac93eb-3afc-45d0-94e0-af2ab832d2f0%2Fobchx6v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Evaluate the Laplace transform of the following:
1. Prove: L{e-at cos kt} =
2. f(t) = e-3t(1+ sin 4t – 2t2)
3. f(t) = (t+ 1)sin (t + 2)
4. f(t) = 2(t + 3)e-(t+5)
5. f(t) = cos? t
6. L{te2t sin 6t}
sta
(s+a)2+k2
using the integration process.
7. L{S,r cos t dt}
(1, 0st<4
8. G(t) = }0, 4<t <5
9. G(t) = e2-t U(t - 2)
10. Given this period function:
Sawtooth function
2b 3b 4b
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