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 Xt + 1 = 1 + Xt equilibrial values of c that allow the equilibria to be stable. x = 0 (-1,1) (-∞0,1) U (1,00) x = c-1 x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
Xxt + 1
=
1 + Xt
equilibria
values of c that allow the
equilibria to be stable
X = 0
(−1,1)
(-∞0,1) U (1,000)
X =
- 1
C-
X
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 Xxt + 1 = 1 + Xt equilibria values of c that allow the equilibria to be stable X = 0 (−1,1) (-∞0,1) U (1,000) X = - 1 C- X
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