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### Messages - 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?

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##### Chapter 9 / Re: differences between proper and improper nodes
« on: December 11, 2019, 09:59:34 PM »
Based on the stability near locally linear system I have extended the previously posted table, hope this helps remembering

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##### Quiz-7 / Re: Quiz 7 LEC 0201
« on: November 30, 2019, 01:57:08 PM »
re posting with bigger attachments

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##### 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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##### Chapter 9 / Re: differences between proper and improper nodes
« on: November 20, 2019, 04:03:25 PM »
I made this handy color coded guide to help me remember all the cases:

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##### Term Test 2 / Re: Problem 3 (noon)
« on: November 19, 2019, 02:20:39 PM »