Problem 4. Conduct linearization of the system near its stationary points and determine their stabilitypropertiesa)[x₁₂ = x₂[x₂ = − 16x₁ + x²b)[x₁ = sin(1+x₁ + x₂)[x₂ = sin(1+x₁-x₂)P(-1,0)

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Answered: Problem 4. Conduct linearization of the…

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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Problem 4. Conduct linearization of the system near its stationary points and determine their stability properties a) x₁ = x₂ [x₂ = -16x₁ + x² b) [x = sin(1+x₁ + x₂) x₂ = sin(1+x₁-x₂) P(-1,0)