Find the general solution of the following differential equations: 1. D2 − 6D + 9)y = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the general solution of the following differential equations:

1. D2 − 6D + 9)y = 0
2. (4D3 + 4D2 + D)y = 0

3. (D4 + 6D3 + 9D2)y = 0

4. (4D3 − 3D + 1)y = 0
5. (D3 + 3D2 + 3D + 1)y = 0

6. (4D4+ 4D3 − 2D2 − 2D + 1)y = 0

7. (D4 − 5D2 − 6D − 2)y = 0

8. (D2 + 9)y = 0
9. (D4 + 2D3+ 10D2)y = 0

10. (D3 + 7D2+ 19D + 13)y = 0

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