Consider the differential equation defined by the auxiliary equation (D3 - 4D)y = 0. Find the particular solution of the given differential equation if x = 0; y = 0; y' = 0 and y" = 2. 1 1 A. y = --+-e²x 2 4 B. y=-=+=cosh2x C. y=+= sinh2x D. y = E. Y F. None of these A B D F 4 2 sinh2x cosh2x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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. Find the
particular solution of the given differential equation if x = 0; y = 0; y' = 0 and y" = 2.
1
1
A. y=--+-e²x
2
4
B. y=-=+=cosh2x
C. y ==+= sinh2x
D. y
E. M-
F. None of these
A
B
D D
F
2
sinh2x
cosh2x
Transcribed Image Text:Consider the differential equation defined by the auxiliary equation (D3 - 4D)y = 0. Find the particular solution of the given differential equation if x = 0; y = 0; y' = 0 and y" = 2. 1 1 A. y=--+-e²x 2 4 B. y=-=+=cosh2x C. y ==+= sinh2x D. y E. M- F. None of these A B D D F 2 sinh2x cosh2x
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