1. (D2 – 9D)(D² – 8D + 7)y = 0 2. (D2 + 6D + 7)(D³ – 5D² + 6D)y = 0 3. y" - 7y' + 10 = 0, y(0) = 2 and y' (0) = 4 4. (D3 – 9D2 + 18D)y = 0, y(0) = 3, y'(0) = 5 and y"(0) = 6 5. (D* – 9D³)(D² – 2D + 1)y = 0 %3D %3D %3D %3D %3D %3D %3D

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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It's homogeneous DE
1. (D² – 9D)(D² – 8D + 7)y = 0
2. (D2 + 6D + 7)(D³ – 5D² + 6D)y = 0
3. y" - 7y' + 10 = 0, y(0) = 2 and y'(0) = 4
4. (D3 – 9D² + 18D)y = 0, y(0) = 3, y'(0) = 5 and y"(0) = 6
5. (D* – 9D³)(D² – 2D + 1)y = 0
%3D
%3D
%3D
%3D
%3D
%3D
Transcribed Image Text:1. (D² – 9D)(D² – 8D + 7)y = 0 2. (D2 + 6D + 7)(D³ – 5D² + 6D)y = 0 3. y" - 7y' + 10 = 0, y(0) = 2 and y'(0) = 4 4. (D3 – 9D² + 18D)y = 0, y(0) = 3, y'(0) = 5 and y"(0) = 6 5. (D* – 9D³)(D² – 2D + 1)y = 0 %3D %3D %3D %3D %3D %3D
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