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For each of the following systems: (i) find the equilibria, (ii) linearize the system around each equilibrium and find the eigenvalues, and (ii) state whether the system is stable at each equilibrium. b) a) = x². (*) = (***) x₁ = sin x2 COS X1

For each of the following systems: (i) find the equilibria, (ii) linearize the system around each equilibrium and find the eigenvalues, and (ii) state whether the system is stable at each equilibrium. b) a) = x². (*) = (***) x₁ = sin x2 COS X1

Advanced Engineering Mathematics
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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3. Equilibria Points and Linearization For each of the following systems: (i) find the equilibria, (ii) linearize the system around each equilibrium and find the eigenvalues, and (iii) state whether the system is stable at each equilibrium. b) a) c) = x² .x². ( * ) = (*+ * ³ ) x2 (3₂) ) = ( sin x ² COS X1
Transcribed Image Text:3. Equilibria Points and Linearization For each of the following systems: (i) find the equilibria, (ii) linearize the system around each equilibrium and find the eigenvalues, and (iii) state whether the system is stable at each equilibrium. b) a) c) = x² .x². ( * ) = (*+ * ³ ) x2 (3₂) ) = ( sin x ² COS X1
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