Multiple Choice) Consider the phase portrait below for the system x Ax, > 0 .4 -2 We would classify this system as a: We can deduce that the eigenvalues are: (a) stable node (a) of mixed sign (b) unstable node (b) both negative (c) both positive (c) saddle (d) spiral (d) Not enough information is given Write the solution as x(t) ceifv+czeatv2, where is the eigenvalue of largest magni- tude. Which of the following is va? (Briefly explain your answer below) (a) (1,-1) (b) (3, 1) (c) (1,3) (d) Not enough information is given 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Multiple Choice) Consider the phase portrait below for the system x Ax,
> 0
.4
-2
We would classify this system as a:
We can deduce that the eigenvalues are:
(a) stable node
(a) of mixed sign
(b) unstable node
(b) both negative
(c) both positive
(c) saddle
(d) spiral
(d) Not enough information is given
Write the solution as x(t) ceifv+czeatv2, where is the eigenvalue of largest magni-
tude. Which of the following is va? (Briefly explain your answer below)
(a) (1,-1)
(b) (3, 1)
(c) (1,3)
(d) Not enough information is given
2.
Transcribed Image Text:Multiple Choice) Consider the phase portrait below for the system x Ax, > 0 .4 -2 We would classify this system as a: We can deduce that the eigenvalues are: (a) stable node (a) of mixed sign (b) unstable node (b) both negative (c) both positive (c) saddle (d) spiral (d) Not enough information is given Write the solution as x(t) ceifv+czeatv2, where is the eigenvalue of largest magni- tude. Which of the following is va? (Briefly explain your answer below) (a) (1,-1) (b) (3, 1) (c) (1,3) (d) Not enough information is given 2.
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