A 2 X 2 constant matrix A has an eigenvalue -3+4i. Determine if each of the following could be a solution of the linear system y' = Ay. (a) e -3t (b) et -3 cos (4t) - 2 sin(4t) ] 3 cos (4t) sin(4t) -2 cos(-3t) [2 co [2 cos(−3t) + sin(-3t) [Select] [Select]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The options for a and b are just can or can't be a solution.

A 2 X 2 constant matrix A has an eigenvalue -3+4i. Determine if each of
the following could be a solution of
the linear system y' = Ay.
(a) e
-3t
(b) e4t
-3 cos (4t) — 2 sin(4t) ]
3 cos (4t) sin(4t)
-2 cos(-3t)
[200
2 cos(-3t) + sin(-3t)
[Select]
[Select]
Transcribed Image Text:A 2 X 2 constant matrix A has an eigenvalue -3+4i. Determine if each of the following could be a solution of the linear system y' = Ay. (a) e -3t (b) e4t -3 cos (4t) — 2 sin(4t) ] 3 cos (4t) sin(4t) -2 cos(-3t) [200 2 cos(-3t) + sin(-3t) [Select] [Select]
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