(D* + 6D3 + 9D²)y = 0 A. y = c1 + c2x + Cze 3x + C4xe¯3x + C4xe-3x B. y = ce* + c2xe* + c3e3* + C4xe3x Cze3x C. y = c1 + C2x + Cze3* + C4xe3x D. y = Ce-3* + c2xe-3* + C3x?e-3* + C4x³e-3*

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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Determine the general solution of the following differential equations.

(D4 + 6D3 + 9D²)y = 0
A. y = c1 + C2x + Cze
¯3x + C4xe¯3x
B. y = ce* + C2xe* + c3e3x + c4xe3x
C. y = c1 + C2x + Cze3* + c4xe³3x
+ C4xe3x
D. y = ce-3* + c2xe-3* + C3x?e-3* + c4x³e-3*
Transcribed Image Text:(D4 + 6D3 + 9D²)y = 0 A. y = c1 + C2x + Cze ¯3x + C4xe¯3x B. y = ce* + C2xe* + c3e3x + c4xe3x C. y = c1 + C2x + Cze3* + c4xe³3x + C4xe3x D. y = ce-3* + c2xe-3* + C3x?e-3* + c4x³e-3*
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