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Problem RMTE1.2 The left panel represents the graph of f(y), the right-hand-side of the differential equation/(). Sketch the

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Answer #1

2.0 1.6 y2-1.5 1.2 0.8 y1-0.5 0.4 0.0 0.5 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5

The stability is given by the sign of the function f(y), which is positive when y<0.,5,

negative when 0.5<y<1.5 and negative when y> 1.5

then y1 is asymptotically stable (both green and black arrows are pointing to y1), and y2 is semi-stable.

(only one arrow is pointing to y2)

Answer: (b)

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