Find the equilibria of the difference equation. Determine the values of c for which each equilibrium is stable. (Enter your answer for x as a comma-separated list. Enter your answer for c using interval notation. If an answer does not exist, enter DNE.) Xt + 1 = equilibria X=0 CXt 1 + Xt c-1 values of c that allow the equilibria to be stable 0 X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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Find the equilibria of the difference equation. Determine the values of c for which each equilibrium is stable. (Enter your answer for x as a comma-separated list. Enter your answer for c using
interval notation. If an answer does not exist, enter DNE.)
CXt
1 + Xt
Xt + 1 =
values of c that allow the
equilibria
equilibria to be stable
X = 0
X = c – 1
Transcribed Image Text:Find the equilibria of the difference equation. Determine the values of c for which each equilibrium is stable. (Enter your answer for x as a comma-separated list. Enter your answer for c using interval notation. If an answer does not exist, enter DNE.) CXt 1 + Xt Xt + 1 = values of c that allow the equilibria equilibria to be stable X = 0 X = c – 1
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