3. Let A = -5 2 Consider the system of equations ' = AT. %3D (a) Find the general solution of the system. O is the only equilibrium solution of the system. Determine (b) Show that 7 whether it is a node, or a saddle, or a spiral point. Determine its stability.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Let
A-()
0 1
%3D
-5 -2
Consider the system of equations a' = A7.
(a) Find the general solution of the system.
(b) Show that = 0 is the only equilibrium solution of the system. Determine
whether it is a node, or a saddle, or a spiral point. Determine its stability.
Transcribed Image Text:3. Let A-() 0 1 %3D -5 -2 Consider the system of equations a' = A7. (a) Find the general solution of the system. (b) Show that = 0 is the only equilibrium solution of the system. Determine whether it is a node, or a saddle, or a spiral point. Determine its stability.
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