2.21. Plot the following curves, locate any fixed points, and obtain asymp- totic expansions to their solution as k → 0: (a) yk+1 = y% +a², a = real number, (b) Yk+1 Yk (vf +3) 3y+1 (c) 2y%+1 - 5yk+1Yk + 2y% = 2,
2.21. Plot the following curves, locate any fixed points, and obtain asymp- totic expansions to their solution as k → 0: (a) yk+1 = y% +a², a = real number, (b) Yk+1 Yk (vf +3) 3y+1 (c) 2y%+1 - 5yk+1Yk + 2y% = 2,
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solve the plot curves just solve
Transcribed Image Text:Уk+1
(1, 1)
Ук
FIGURE 2.11: y+1 = Yk.
k+1
Transcribed Image Text:2.21. Plot the following curves, locate any fixed points, and obtain asymp-
totic expansions to their solution as k
(a) Yk+1 = y + a²,
Yk (Y%+3)
3y%+1
a = real number,
(b) Yk+1 =
(c) 2y+1 - 5yk+1Yk + 2y% = 2,
ayk+1
(d) Yk+1
Yk ta ?
(е) Ук+1
5y% -6yk+2
6y? -8yk+3'
(f) 5yk+1
5y +6yk+19
Y+5
(g) y+1 = Yk +6.
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