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Answers to odd-numbered problems begin on page A-8. In Problems 1-36 find the general solution of the given differential equation. 1. 4y" + y' = 0 2. 2y" - 5y' = 0 3. y" - 36y = 0 4. y" - 8y = 0 5. y" +9y = 0 6. 3y" + y = 0 7. y" - y' - 6y = 0 8. y" - 3y' + 2y = 0 d'y dy d²y dx² dx² dx 9. dy + 8- + 16y = 0 dx 11. y" + 3y' - 5y = 0 13. 12y" - 5y' - 2y = 0 15. y" - 4y' + 5y = 0 17. 3y" + 2y' + y = 0 19. y" - 4y" - 5y' = 0 21. y" - y = 0 23. y" - 5y" + 3y' + 9y = 0 25. y"+y" - 2y = 0 27. y" + 3y" + 3y' + y = 0 d'y dx4 29. + d'y 31. 16 dr4 d'y d'y + dx³ dx² + 24 d'y dr2 = 0 +9y = 0 10. - 30. 10 32. 12. y" + 4y' - y = 0 14. 8y" + 2y' - y = 0 16. 2y" - 3y + 4y = 0 18. 2y" + 2y' + y = 0 20. 4y" + 4y" + y' = 0 + 25y = 0 22. y" + 5y" = 0 24. y" + 3y" - 4y' - 12y = 0 26. y" - y" - 4y = 0 28. y" - 6y" + 12y' - 8y = 0 d'y dx4 d²y dx² -2. TEL + y = 0 d'yd²y -7--- - S DE 18y = 0

Answers to odd-numbered problems begin on page A-8. In Problems 1-36 find the general solution of the given differential equation. 1. 4y" + y' = 0 2. 2y" - 5y' = 0 3. y" - 36y = 0 4. y" - 8y = 0 5. y" +9y = 0 6. 3y" + y = 0 7. y" - y' - 6y = 0 8. y" - 3y' + 2y = 0 d'y dy d²y dx² dx² dx 9. dy + 8- + 16y = 0 dx 11. y" + 3y' - 5y = 0 13. 12y" - 5y' - 2y = 0 15. y" - 4y' + 5y = 0 17. 3y" + 2y' + y = 0 19. y" - 4y" - 5y' = 0 21. y" - y = 0 23. y" - 5y" + 3y' + 9y = 0 25. y"+y" - 2y = 0 27. y" + 3y" + 3y' + y = 0 d'y dx4 29. + d'y 31. 16 dr4 d'y d'y + dx³ dx² + 24 d'y dr2 = 0 +9y = 0 10. - 30. 10 32. 12. y" + 4y' - y = 0 14. 8y" + 2y' - y = 0 16. 2y" - 3y + 4y = 0 18. 2y" + 2y' + y = 0 20. 4y" + 4y" + y' = 0 + 25y = 0 22. y" + 5y" = 0 24. y" + 3y" - 4y' - 12y = 0 26. y" - y" - 4y = 0 28. y" - 6y" + 12y' - 8y = 0 d'y dx4 d²y dx² -2. TEL + y = 0 d'yd²y -7--- - S DE 18y = 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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Can someone help me answer numbers 19 and 21
Answers to odd-numbered problems begin on page A-8. In Problems 1-36 find the general solution of the given differential equation. 1. 4y" + y' = 0 2. 2y" - 5y' = 0 3. y" - 36y = 0 4. y" - 8y = 0 5. y" + 9y = 0 6. 3y" + y = 0 7. y" - y' - 6y = 0 8. y" - 3y' + 2y = 0 d²y dy d²y dx² dx² 9. 11. y" + 3y' - 5y = 0 13. 12y" - 5y' - 2y = 0 15. y" - 4y' + 5y = 0 17. 3y" + 2y' + y = 0 19. y" - 4y" - 5y' = 0 21. y" - y = 0 23. y" - 5y" + 3y' + 9y = 0 25. y""+y" - 2y = 0 27. y" + 3y" + 3y' + y = 0 d'y d'y d'y + + dx³ dx² = 0 dx4 d'y dx² 29. 31. 16 33. dy + 8- + 16y = 0 dx 35. d'y dx4 d'y dxs d'y dx5 + 24 16 + 5 dy dx d'y dx4 = +9y = 0 0 2 d³y dx³ 10 10. 12. y" + 4y' - y = 0 14. 8y" + 2y' - y = 0 16. 2y" - 3y + 4y = 0 18. 2y" + 2y' + y = 0 20. 4y" + 4y" + y' = 0 30. 32. 22. y" + 5y" = 0 24. y" + 3y" - 4y' - 12y = 0 26. y"" - y" - 4y = 0 28. y" - 6y" + 12y' - 8y = 0 d'y dx4 34. - d'y dy + dx² dx 10 + 25y = 0 dx d'y dx4 d'y dxs -2 - 7 2 + 5y = 0 d²y dx² d²y dx² d'y dx4 + y = 0 TOPP 18y = 0 d'y dx³ + 17 =
Transcribed Image Text:Answers to odd-numbered problems begin on page A-8. In Problems 1-36 find the general solution of the given differential equation. 1. 4y" + y' = 0 2. 2y" - 5y' = 0 3. y" - 36y = 0 4. y" - 8y = 0 5. y" + 9y = 0 6. 3y" + y = 0 7. y" - y' - 6y = 0 8. y" - 3y' + 2y = 0 d²y dy d²y dx² dx² 9. 11. y" + 3y' - 5y = 0 13. 12y" - 5y' - 2y = 0 15. y" - 4y' + 5y = 0 17. 3y" + 2y' + y = 0 19. y" - 4y" - 5y' = 0 21. y" - y = 0 23. y" - 5y" + 3y' + 9y = 0 25. y""+y" - 2y = 0 27. y" + 3y" + 3y' + y = 0 d'y d'y d'y + + dx³ dx² = 0 dx4 d'y dx² 29. 31. 16 33. dy + 8- + 16y = 0 dx 35. d'y dx4 d'y dxs d'y dx5 + 24 16 + 5 dy dx d'y dx4 = +9y = 0 0 2 d³y dx³ 10 10. 12. y" + 4y' - y = 0 14. 8y" + 2y' - y = 0 16. 2y" - 3y + 4y = 0 18. 2y" + 2y' + y = 0 20. 4y" + 4y" + y' = 0 30. 32. 22. y" + 5y" = 0 24. y" + 3y" - 4y' - 12y = 0 26. y"" - y" - 4y = 0 28. y" - 6y" + 12y' - 8y = 0 d'y dx4 34. - d'y dy + dx² dx 10 + 25y = 0 dx d'y dx4 d'y dxs -2 - 7 2 + 5y = 0 d²y dx² d²y dx² d'y dx4 + y = 0 TOPP 18y = 0 d'y dx³ + 17 =
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