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    Elementary Differential Equations
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    Exam 9: Nonlinear Differential Equations and Stability
  5. Question
    Consider the Following Nonlinear System
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Consider the Following Nonlinear System

Question 46

Question 46

Multiple Choice

Consider the following nonlinear system:
Consider the following nonlinear system:   What can you conclude about this nonlinear system? A)  The origin is asymptotically stable. B)  The origin is an unstable node. C)  The basin of attraction for the origin is the entire xy-plane. D)  The origin is a center and all solution trajectories encircle it.
What can you conclude about this nonlinear system?


A) The origin is asymptotically stable.
B) The origin is an unstable node.
C) The basin of attraction for the origin is the entire xy-plane.
D) The origin is a center and all solution trajectories encircle it.

Correct Answer:

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