7. 3" + y = 8(t – 2) cos t; y(0) = 0, y'(0) = 1 > Answer Solution Let Y(s) = L(y) and apply the Laplace transform to the differential equation. We obtain [s?Y(s) – sy(0) – y'(0)) +Y(s) = -2TS
7. 3" + y = 8(t – 2) cos t; y(0) = 0, y'(0) = 1 > Answer Solution Let Y(s) = L(y) and apply the Laplace transform to the differential equation. We obtain [s?Y(s) – sy(0) – y'(0)) +Y(s) = -2TS
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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Question
Please explain to me why on the right side, after Laplace why it is equal to e^(-2pis). Why cost is not count?
![7. y" + y = 8(t – 27) cos t; y(0) = 0, y(0) = 1
Answer
Solution
Let Y(s) = L(y) and apply the Laplace transform to the differential equation. We obtain
[s'Y(s) – sy(0) – y (0)] + Y(s) = e-2ns.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4529b9d6-ad9d-4e15-9503-d5147c036d5b%2F4338ccd5-3e82-4a24-8e19-1d55d640d74f%2Fic18pa_processed.png&w=3840&q=75)
Transcribed Image Text:7. y" + y = 8(t – 27) cos t; y(0) = 0, y(0) = 1
Answer
Solution
Let Y(s) = L(y) and apply the Laplace transform to the differential equation. We obtain
[s'Y(s) – sy(0) – y (0)] + Y(s) = e-2ns.
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