Yk = 1+ c2", c = constant. Determine the interval of initial values of yk that correspond, respec- tively, to |c| > 1 and |c| < 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2.22. Plot the curve
Yk+1 = Y% – 2Yk +2
and analyze the stability of any fixed points. Show that the exact
solution to this equation is
Yk = 1+ c2",
c = constant.
Determine the interval of initial values of yk that correspond, respec-
tively, to |c| > 1 and |c| < 1.
Transcribed Image Text:2.22. Plot the curve Yk+1 = Y% – 2Yk +2 and analyze the stability of any fixed points. Show that the exact solution to this equation is Yk = 1+ c2", c = constant. Determine the interval of initial values of yk that correspond, respec- tively, to |c| > 1 and |c| < 1.
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