Investigate the stability of the following system (Consider the quadratic form as lya punor system.) -) (x₁==x₂-X(-xX²-36 ²+1) 1 36₂ = 24₁-22₂ (1-36²-36²) ( * = 2₂ (1-26²³) X₂ = − (x₁+x₂)(1-x²) bl
Investigate the stability of the following system (Consider the quadratic form as lya punor system.) -) (x₁==x₂-X(-xX²-36 ²+1) 1 36₂ = 24₁-22₂ (1-36²-36²) ( * = 2₂ (1-26²³) X₂ = − (x₁+x₂)(1-x²) bl
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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Transcribed Image Text:Investigate the stability of the following system.
(Consider the quadratic form as lya punor system.)
3X=X₂-X(-X²₁²-X₂2² +1)
(1-x²-x²)
=)
1 36₂ = 34₁-x₂₁
b) | *6 = 36₂ (1-36²)
X₂ = −(X+X₂)(1-x²)
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