The number 0 is a critical point of the autonomous differential equation dx/dt xn
Chapter 2, Problem 5(choose chapter or problem)
The number 0 is a critical point of the autonomous differential equation \(d x / d t=x^{n}\), where n is a positive integer. For what values of n is 0 asymptotically stable? Semi-stable? Unstable? Repeat for the equation \(d x / d t=-x^{n}\).
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