Consider the differential equation defined by the auxiliary equation (D3 - 4D)y = 0. What is the general solution of the given differential equation? 2.30 A. y = C₁e + C₂e²x + Cze B. y = C₁ + C₂e²x + Cze 2x C. y = C₁ + C₂e-2x + C3xe-2x -2x D. y = C₁ + C₂e + C3xe E. None of these O A О в Ос OE 2x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Subject: Differential Equation (please show solution thank you!)
Consider the differential equation defined by the auxiliary equation (D3 - 4D)y = 0. What is the
general solution of the given differential equation?
-2.50
A. y = C₁e + C₂e²x + Cze
-2x
B. y = C₁ + C₂e²x + С₂е¯
C. y = ₁₂ + C₂e-2
-2x
+ C3xe-2x
D. y = C₁ + C₂e-2x + C3xe 2:
2x
E. None of these
O A
О в
OD
OE
hs
5 poir
Transcribed Image Text:Consider the differential equation defined by the auxiliary equation (D3 - 4D)y = 0. What is the general solution of the given differential equation? -2.50 A. y = C₁e + C₂e²x + Cze -2x B. y = C₁ + C₂e²x + С₂е¯ C. y = ₁₂ + C₂e-2 -2x + C3xe-2x D. y = C₁ + C₂e-2x + C3xe 2: 2x E. None of these O A О в OD OE hs 5 poir
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