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Find the general solution of the following: 1. (D² – D – 2)y = 0 2. (D² + 3D)y = 0 3. (D² – 5D) + 4y = 0 - - (D?

Find the general solution of the following: 1. (D² – D – 2)y = 0 2. (D² + 3D)y = 0 3. (D² – 5D) + 4y = 0 - - (D?

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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Find the general solution of the following: 1. (D² – D – 2)y = 0 2. (D² + 3D)y = 0 3. (D² – 5D) + 4y = 0 4. (D² – 9)y = 0 5. (D² – 1)y = 0 6. (4D? – 4D + 1)y = 0 7. (D³ – 4D² + 4D)y = 0 8. (4D2 – 6D + 1)y = 0 9. (25D² – 30D + 9)y = 0 10. (36D2 – 12D + 1)y = 0 11. (D2 – 2D + 5)y = 0 12. (D2 + 9)y = 0 13. (D² – 2D + 2)y = 0 14. (D² – D + 1)y = 0 15.(2D? – D + 2)y = 0 16. (D² + 9)²y = 0 17. (D² + 49)²y = 0 18. (D² + 36)²y = 0 19.(D³ + 36D)²y = 0 20. (D3 + 100)²y = 0 - - - %3D %3D - - %3D
Transcribed Image Text:Find the general solution of the following: 1. (D² – D – 2)y = 0 2. (D² + 3D)y = 0 3. (D² – 5D) + 4y = 0 4. (D² – 9)y = 0 5. (D² – 1)y = 0 6. (4D? – 4D + 1)y = 0 7. (D³ – 4D² + 4D)y = 0 8. (4D2 – 6D + 1)y = 0 9. (25D² – 30D + 9)y = 0 10. (36D2 – 12D + 1)y = 0 11. (D2 – 2D + 5)y = 0 12. (D2 + 9)y = 0 13. (D² – 2D + 2)y = 0 14. (D² – D + 1)y = 0 15.(2D? – D + 2)y = 0 16. (D² + 9)²y = 0 17. (D² + 49)²y = 0 18. (D² + 36)²y = 0 19.(D³ + 36D)²y = 0 20. (D3 + 100)²y = 0 - - - %3D %3D - - %3D
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