Plot the following curves, locate any fixed points, and obtain asymp- totic expansions to their solution as k→0: (а) ук+1 Yk + a?, a = real number, (b) Yk+1 Yk (Y%+3) 3y+1 (c) 2yk+1 -5yk+1Yk + 2y = 2, ayr+1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the fixed ploint

l stc ksa
7:14 PM
@ 1 82% 2
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 (uk +3)
3y+1
(b) Ук+1
%3D
(c) 2y+1 - 5yk+1Yk + 2y% = 2,
ayk+1
Yk+a »
5y -6yk+2
612 –8u++3?
(d) Yk+1
(e) Yk+1 =
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Transcribed Image Text:l stc ksa 7:14 PM @ 1 82% 2 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 (uk +3) 3y+1 (b) Ук+1 %3D (c) 2y+1 - 5yk+1Yk + 2y% = 2, ayk+1 Yk+a » 5y -6yk+2 612 –8u++3? (d) Yk+1 (e) Yk+1 = Cancel Actual Size (420 KB) Choose
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