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In Problems 1–10 write the given differential equation in the form L(y) = g(x), where L is a linear differential opera- tor with constant coefficients. If possible, factor L. 2. у" — 5у %3D х2 — 2х 4. 2y" - Зу' — 2у %3D 1 1. 9y" – 4y = sin x - 3. у" — 4y' — 12у %3D х — 6 - | 5. y" + 10y" + 25y' = e* 6. y" + 4y' = e* cos 2x 7. у" + 2у" — 13y' + 10у %3D хе 8. y" + 4y" + 3y' = x² cos x - 3x %3D 9. y(4) + 8y' = 4 10. y(4) – 8y" + 16y = (x³ – 2x)e4x %3D -

In Problems 1–10 write the given differential equation in the form L(y) = g(x), where L is a linear differential opera- tor with constant coefficients. If possible, factor L. 2. у" — 5у %3D х2 — 2х 4. 2y" - Зу' — 2у %3D 1 1. 9y" – 4y = sin x - 3. у" — 4y' — 12у %3D х — 6 - | 5. y" + 10y" + 25y' = e* 6. y" + 4y' = e* cos 2x 7. у" + 2у" — 13y' + 10у %3D хе 8. y" + 4y" + 3y' = x² cos x - 3x %3D 9. y(4) + 8y' = 4 10. y(4) – 8y" + 16y = (x³ – 2x)e4x %3D -

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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In Problems 1–10 write the given differential equation in the form L(y) = g(x), where L is a linear differential opera- tor with constant coefficients. If possible, factor L. 2. у" — 5у %3D х2 — 2х 4. 2y" - Зу' — 2у %3D 1 1. 9y" – 4y = sin x 3. у" — 4y' — 12y %3D х — 6 5. у" + 10у" + 25у' %3D е* 7. у" + 2у" — 13у' + 10у 3D хе * 8. y" + 4y" + 3y' = x² cos x 9. y(4) + 8y' = 4 - - 6. y" + 4y' = e* cos 2x - 3x - – 10. y(4) – 8y" + 16y = (x³ – 2x)e4* |
Transcribed Image Text:In Problems 1–10 write the given differential equation in the form L(y) = g(x), where L is a linear differential opera- tor with constant coefficients. If possible, factor L. 2. у" — 5у %3D х2 — 2х 4. 2y" - Зу' — 2у %3D 1 1. 9y" – 4y = sin x 3. у" — 4y' — 12y %3D х — 6 5. у" + 10у" + 25у' %3D е* 7. у" + 2у" — 13у' + 10у 3D хе * 8. y" + 4y" + 3y' = x² cos x 9. y(4) + 8y' = 4 - - 6. y" + 4y' = e* cos 2x - 3x - – 10. y(4) – 8y" + 16y = (x³ – 2x)e4* |
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