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 -
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
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