dr di? 1. 4y" + у' %3D 0 2. у" — 36у %3D0 21. у" + Зу" + Зу' + у %3D 0 3. у" — у' — бу — 0 4. у" — Зу' + 2у %3D 0 22. у" — бу" + 12y' — 8у %3D0 23. y) + у" + у" %3D0 5. у" + 8y' + 16у %3D 0 6. у" — 10у' + 25у %3D 0 24. y) — 2у" +у 3 0 7. 12у" — 5у' - 2у %3D0 8. у" + 4y' — у %3D 0 25. 16 dªy d²y + 24 - + 9y = 0 9. у" + 9у %3D 0 10. Зу" + у 3D0 dx dx 11. у" — 4у' + 5у %3D 0 12. 2y" + 2y' +у3D0 dªy 26. dx d²y 18y = 0 13. Зу" + 2y'+у%3D0 14. 2y" — Зу' + 4y %3D 0 dx² d³u dªu + 5 dr d³u In Problems 15–28 find the general solution of the given higher-order differential equation. d²u 10 dr 27. dr dr d'r
dr di? 1. 4y" + у' %3D 0 2. у" — 36у %3D0 21. у" + Зу" + Зу' + у %3D 0 3. у" — у' — бу — 0 4. у" — Зу' + 2у %3D 0 22. у" — бу" + 12y' — 8у %3D0 23. y) + у" + у" %3D0 5. у" + 8y' + 16у %3D 0 6. у" — 10у' + 25у %3D 0 24. y) — 2у" +у 3 0 7. 12у" — 5у' - 2у %3D0 8. у" + 4y' — у %3D 0 25. 16 dªy d²y + 24 - + 9y = 0 9. у" + 9у %3D 0 10. Зу" + у 3D0 dx dx 11. у" — 4у' + 5у %3D 0 12. 2y" + 2y' +у3D0 dªy 26. dx d²y 18y = 0 13. Зу" + 2y'+у%3D0 14. 2y" — Зу' + 4y %3D 0 dx² d³u dªu + 5 dr d³u In Problems 15–28 find the general solution of the given higher-order differential equation. d²u 10 dr 27. dr dr d'r
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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Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Solve q3 5 7 and 9
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