2.23. The difference equation 5y – byk + 2 6y - 8yk + 3 Yk+1 = has two fixed points at (,5) and (1, 1). Calculate asymptotic expan-
2.23. The difference equation 5y – byk + 2 6y - 8yk + 3 Yk+1 = has two fixed points at (,5) and (1, 1). Calculate asymptotic expan-
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Transcribed Image Text:2.23. The difference equation
5y% – 6yk + 2
6y – 8yk + 3
Yk+1 =
has two fixed points at (,5) and (1, 1). Calculate asymptotic expan-
sions to the solution about these points. Show that the exact solution
to this difference equation is
1+c2*
Yk
c = constant.
2 + c2* »
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