Consider the following autonomous differential equaiton y' = (y + 1) (2 - y) (a) Write a phase portrait diagram for the above differential equation. Next to it, write a graph with rough sketches of solutions, including the equilibrium solutions. (b) Identify any stable, unstable, or semi-stable solutions.
Consider the following autonomous differential equaiton y' = (y + 1) (2 - y) (a) Write a phase portrait diagram for the above differential equation. Next to it, write a graph with rough sketches of solutions, including the equilibrium solutions. (b) Identify any stable, unstable, or semi-stable solutions.
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.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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Transcribed Image Text:Consider the following autonomous differential equaiton
y' = (y + 1) (2 - y)
(a) Write a phase portrait diagram for the above differential equation. Next to it, write a graph with
rough sketches of solutions, including the equilibrium solutions.
(b) Identify any stable, unstable, or semi-stable solutions.
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