a) Yt+1 = 2yt - 10 b) Yt+1 = Yt c) ye = 0.5yt-1+1 %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 21EQ
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4) For each of the following difference equations, obtain the general solution (i.e.
when yo is unspecified), obtain the unique solution for the case when yo is known
and solve for the steady state if it exists and indicate whether or not y: converges to
the steady state.
a) yt+1 = 2y, - 10
b) yt+1 = Yt
c) yt = 0.5yt-1+1
Transcribed Image Text:4) For each of the following difference equations, obtain the general solution (i.e. when yo is unspecified), obtain the unique solution for the case when yo is known and solve for the steady state if it exists and indicate whether or not y: converges to the steady state. a) yt+1 = 2y, - 10 b) yt+1 = Yt c) yt = 0.5yt-1+1
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