(D4 + 3D3 – 6D² – 28D – 24)y = 0 A. y = c;e2x + C2xe2x + C3e-3* + C4xe + C4xe-3x B. y = ce2* + c2e" 3* + C3xe-3x + C4x?e-3x C. y = Ce3x + c2e-2* + C3xe-2x + C4x?e=2* D. y = ce-3x + cze2* + C3xe2x + c4x?e2*

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Determine the general solution of the following differential equations.

(D4 + 3D3 – 6D² – 28D – 24)y = 0
A. y = ce2x + c2xe2x + c3e-3x + C4xe-3x
B. y = cze2x + Cze'
-3x
+ C3xe¯3x + C4x²e-3x
C. y = ce3* + C2e¬2* + C3xe-2* + C4x?e-2*
D. y = ce-3* + cze2* + c3xe2* + c4x?e2x
Transcribed Image Text:(D4 + 3D3 – 6D² – 28D – 24)y = 0 A. y = ce2x + c2xe2x + c3e-3x + C4xe-3x B. y = cze2x + Cze' -3x + C3xe¯3x + C4x²e-3x C. y = ce3* + C2e¬2* + C3xe-2* + C4x?e-2* D. y = ce-3* + cze2* + c3xe2* + c4x?e2x
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