(a) Find all eigenvalues of A. (b) Show that 7 = 0 is the only equilibrium solution of the system. %3D (c) Determine whether = 0 is a node, or a saddle, or a spiral point.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let
1
A =
-2
1
Consider the system of equations = A.
(a) Find all eigenvalues of A.
(b) Show that 7 = 0 is the only equilibrium solution of the system.
%3D
(c) Determine whether 7
Ở is a node, or a saddle, or a spiral point.
(d) Determine the stability of 7 = 0.
2.
Transcribed Image Text:Let 1 A = -2 1 Consider the system of equations = A. (a) Find all eigenvalues of A. (b) Show that 7 = 0 is the only equilibrium solution of the system. %3D (c) Determine whether 7 Ở is a node, or a saddle, or a spiral point. (d) Determine the stability of 7 = 0. 2.
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