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11. у" — у" — у' +у%3D0 -

11. у" — у" — у' +у%3D0 -

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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Question 11.
In each of Problems 11 through 28, find the general solution of the given differential equation. 11. \( y''' - y'' - y' + y = 0 \) 12. \( y''' - 3y'' + 3y' - y = 0 \) 13. \( 2y''' - 4y'' - 2y' + 4y = 0 \) 14. \( y^{(4)} - 4y''' + 4y'' = 0 \) 15. \( y^{(6)} + y = 0 \) 16. \( y^{(4)} - 5y'' + 4y = 0 \) 17. \( y^{(6)} - 3y^{(4)} + 3y'' = 0 \) 18. \( y^{(6)} - y'' = 0 \) 19. \( y^{(5)} - 3y^{(4)} + 3y''' - 3y'' + 2y' = 0 \) 20. \( y^{(4)} - 8y' = 0 \) 21. \( y^{(8)} + 8y^{(4)} + 16y = 0 \) 22. \( y^{(4)} + 2y'' + y = 0 \) 23. \( y''' - 5y'' + 3y' + y = 0 \) 24. \( y'' + 5y' + 6y' + 2y = 0 \) 25. \( 18y''' + 21y'' + 14y' + 4y = 0 \) 26. \( y^{(4)} - 7y''' + 6y'' + 30y' - 36y = 0 \) 27. \( 12y^{(4)} + 31y''' + 75y' + 37y' + 5y = 0 \) 28. \( y^{(4)} + 6y''' + 17y'' + 22y' + 14y = 0 \)
Transcribed Image Text:In each of Problems 11 through 28, find the general solution of the given differential equation. 11. \( y''' - y'' - y' + y = 0 \) 12. \( y''' - 3y'' + 3y' - y = 0 \) 13. \( 2y''' - 4y'' - 2y' + 4y = 0 \) 14. \( y^{(4)} - 4y''' + 4y'' = 0 \) 15. \( y^{(6)} + y = 0 \) 16. \( y^{(4)} - 5y'' + 4y = 0 \) 17. \( y^{(6)} - 3y^{(4)} + 3y'' = 0 \) 18. \( y^{(6)} - y'' = 0 \) 19. \( y^{(5)} - 3y^{(4)} + 3y''' - 3y'' + 2y' = 0 \) 20. \( y^{(4)} - 8y' = 0 \) 21. \( y^{(8)} + 8y^{(4)} + 16y = 0 \) 22. \( y^{(4)} + 2y'' + y = 0 \) 23. \( y''' - 5y'' + 3y' + y = 0 \) 24. \( y'' + 5y' + 6y' + 2y = 0 \) 25. \( 18y''' + 21y'' + 14y' + 4y = 0 \) 26. \( y^{(4)} - 7y''' + 6y'' + 30y' - 36y = 0 \) 27. \( 12y^{(4)} + 31y''' + 75y' + 37y' + 5y = 0 \) 28. \( y^{(4)} + 6y''' + 17y'' + 22y' + 14y = 0 \)
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