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Topics - anntara khan

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Chapter 9 / the stability characteristics of all periodic solutions
« on: December 15, 2019, 08:37:21 PM »
I am not sure how to analyze the stability around the limit circle. Is it dependent on the values of r or the value of r'(positive/negative)? And what does it really mean if it's Stable, Unstable or Semi-stable?

Quiz-7 / Quiz 7 LEC 0201
« on: November 30, 2019, 01:30:51 PM »
dx/dt = y
dy/dt = -x+(1/6)*(x^3)

(a) Find an equation of the form H(x, y) = c satisfied by the trajectories.
(b) Plot several level curves of the function H. These are trajectories of the given system.
Indicate the direction of motion on each trajectory.

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