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Use Laplace transform to solve the given IVP. 1. (D – 1)y = 2 sin 5t, y(0) = 0

Use Laplace transform to solve the given IVP. 1. (D – 1)y = 2 sin 5t, y(0) = 0

Advanced Engineering Mathematics
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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Use Laplace transform to solve the given IVP. 1. (D – 1)y = 2 sin 5t, y(0) = 0 2. * – 4x = 6e3t – 3e-t, x(0) = 1, x(0) = -1 3. y" – y' = e* cos x, y(0) = 0, y'(0) = 0 4. y" – 4y' + 4y = x³e2x, y(0) = 0, y'(0) = 0 5. y' +y = x sin x, y(0) = 0 6. * + 9x = cos 3t, x(0) = 2, *(0) = 5
Transcribed Image Text:Use Laplace transform to solve the given IVP. 1. (D – 1)y = 2 sin 5t, y(0) = 0 2. * – 4x = 6e3t – 3e-t, x(0) = 1, x(0) = -1 3. y" – y' = e* cos x, y(0) = 0, y'(0) = 0 4. y" – 4y' + 4y = x³e2x, y(0) = 0, y'(0) = 0 5. y' +y = x sin x, y(0) = 0 6. * + 9x = cos 3t, x(0) = 2, *(0) = 5
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