21. For the following nonlinear differential equations, find the stable equilibria as a function of the bifurcation parameter r. Then draw the bifurcation diagram. (Uu. (e) dx/dt = x(r- e*) (transcritical)

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.CR: Chapter 11 Review
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21. For the following nonlinear differential equations, find the stable equilibria as
a function of the bifurcation parameter r. Then draw the bifurcation diagram.
(4
(e) dx/dt = x(r - e*) (transcritical)
Transcribed Image Text:S 21. For the following nonlinear differential equations, find the stable equilibria as a function of the bifurcation parameter r. Then draw the bifurcation diagram. (4 (e) dx/dt = x(r - e*) (transcritical)
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