Q1) (a) Investigate the stability of the origin of the system1 = 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,%3Di2 = 1+ 2- 2x122.

Given :- The stability of the origin of the system x1' = x2x2' = x3x3' = x1 - x2 - 2x3

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.

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.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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