Q1) (a) Investigate the stability of the origin of the system 1 = 12, 2 = 13, i3 = 21- 12-2r3 (b) Find the equilibrium points, determine their stability and classify their type (nod: focus, saddle,...) 1 = -I1 +12, 2 = 11+22 - 2r12.

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Chapter2: Second-order Linear Odes
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Q1) (a) Investigate the stability of the origin of the system
1 = 12,
t2 = 13,
t3 = 21 - 12- 2a3
(b) Find the equilibrium points, determine their stability and classify their type (nade,
focus, saddle,...)
i = -I1 +12,
%3D
i2 = 1+ 2- 2x122.
Transcribed Image Text:Q1) (a) Investigate the stability of the origin of the system 1 = 12, t2 = 13, t3 = 21 - 12- 2a3 (b) Find the equilibrium points, determine their stability and classify their type (nade, focus, saddle,...) i = -I1 +12, %3D i2 = 1+ 2- 2x122.
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