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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-

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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* »
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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