Determine the local stability of equilibrium of the ODE d = x(t) = x² − y dt d y(t) = x(y = 2x). dt'

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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. Determine the local stability of equilibrium of the ODE
d
dx(t) = x² - y
d
ty(t) = x(y-2x).
dt
Transcribed Image Text:. Determine the local stability of equilibrium of the ODE d dx(t) = x² - y d ty(t) = x(y-2x). dt
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