Draw the null-clines and determine equilibrium of d dx(t) = x(1−xy) d = y(t) = y = x². dt Use these null-clines to sketch the phase plane.

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 35E
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Draw the null-clines and determine equilibrium of
d
dt
d
x(t)=x(1−xy)
dt (t) = y=x².
Use these null-clines to sketch the phase plane.
Transcribed Image Text:Draw the null-clines and determine equilibrium of d dt d x(t)=x(1−xy) dt (t) = y=x². Use these null-clines to sketch the phase plane.
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