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 = 2+ c2* > c= constant.
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 = 2+ c2* > c= constant.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 44E
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![2.23. The difference equation
5y% – Gyk + 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+ c2k
Yk
2+ c2* >
c = constant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81298257-c713-4b58-84d8-d4973e4f85fc%2F3d142e0c-3f6a-4e4b-af62-bb2400bf93bd%2F6gvjpu5_processed.png&w=3840&q=75)
Transcribed Image Text:2.23. The difference equation
5y% – Gyk + 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+ c2k
Yk
2+ c2* >
c = constant.
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