[6] An equationdt=f(y) has the following phase portrait.2Y(a) Find all equilibrium solutions.(b) Determine whether each of the equilibrium solutions is stable, asymptotically stableor unstable.(c) Graph the solutions y(t) vs t, for the initial values y(1.4) = 0, y(0) = 0.5, y(0) = 1,y (0) = 1.1, y(0) = 1.5, y(-0.5) = 1.5, y(0) = 2, y(0) = 2.5, y(0) = 3, y(0) = 3.5,y(0) = 4, y(0) = 4.5, y(-1) = 4.5. (Without further quantitative information aboutthe equation and the solution formula, it's clearly impossible to draw accurate graphsof y(t) vs t. Here, try to sketch graphs qualitatively to show the correct dynamicproperties. The point is that a great deal of info about solution dynamics can beread off from one simple figure of phase portrait.)

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Answered: [6] An equation dy dt = f(y) has the…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 1YT

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