Problem 3. Given the following differential equation: y = (2-y)²(9- y²). Determine the critical points and describe the stability at each of these points. For each of the following initial values for y(0) describe the limiting behavior and sketch a the graph for that initial value: -4, 0, 4, and 8. y(0) [Note: You should put all the graphs on the same chart.] =

Problem 3. Given the following differential equation: y = (2-y)²(9- y²). Determine the critical points and describe the stability at each of these points. For each of the following initial values for y(0) describe the limiting behavior and sketch a the graph for that initial value: -4, 0, 4, and 8. y(0) [Note: You should put all the graphs on the same chart.] =

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 11E

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