(c) 2yk+1 - 5yk+1Yk + 2y%= 2,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve the question in the same way as a book The determine yellow i need solve

Plot the following curves, locate any fixed points, and obtain asymp-
totic expansions to their solution as k
(a) Yk+1 = Y% + a²,
a = real number,
Yk (u%+3)
3y%+1)
(b) Ук+1 —
(c) 2y+1 – 5Yk+1Yk + 2y% = 2,
ayk+1
(d) Yk+1 =
Ykta ?
5y% -6yk+2
6y -8yk+3'
(e) Yk+1 =
Transcribed Image Text:Plot the following curves, locate any fixed points, and obtain asymp- totic expansions to their solution as k (a) Yk+1 = Y% + a², a = real number, Yk (u%+3) 3y%+1) (b) Ук+1 — (c) 2y+1 – 5Yk+1Yk + 2y% = 2, ayk+1 (d) Yk+1 = Ykta ? 5y% -6yk+2 6y -8yk+3' (e) Yk+1 =
FIRST-ORDER DIFFERENCE EQUATIONS
77
Уk+1
(3, 3)
(1, 1)
Yk
FIGURE 2.10: 2ykYk+1
y+4yk-3. Note that initial values in the interval
0 < yo < 1 go over to the branch in the left-hand plane.
Transcribed Image Text:FIRST-ORDER DIFFERENCE EQUATIONS 77 Уk+1 (3, 3) (1, 1) Yk FIGURE 2.10: 2ykYk+1 y+4yk-3. Note that initial values in the interval 0 < yo < 1 go over to the branch in the left-hand plane.
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