Consider the non-linear autonomous system dr dt (fi – I - 1)(fi – 1)- = =(y+2). • Find all equilibria. • Identify all equilibria on the phase plane. • Draw a couple of arrows in the phase plane near the equilibrium with a highest y component.

Consider the non-linear autonomous system dr dt (fi – I - 1)(fi – 1)- = =(y+2). • Find all equilibria. • Identify all equilibria on the phase plane. • Draw a couple of arrows in the phase plane near the equilibrium with a highest y component.

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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Question

Consider the non-linear autonomous system
dr
-(r-)(1--y)
dt
dy
z(y + 2).
%3!
dt
Find all equilibria.
• Identify all equilibria on the phase plane.
• Draw a couple of arrows in the phase plane near the equilibrium with a highest y
component.
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