Consider the system (2) in the text, and assume that 12 12 = 0.(a) Find all the critical
Chapter 9, Problem 10(choose chapter or problem)
Consider the system (2) in the text, and assume that 12 12 = 0.(a) Find all the critical points of the system. Observe that the result depends on whether12 21 is zero.(b) If 12 21 > 0, classify each critical point and determine whether it is asymptoticallystable, stable, or unstable. Note that is of this type. Then do the same if12 21 < 0.(c) Analyze the nature of the trajectories when 12 21 = 0.
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