Find all possible bifurcation points and their types (analytically and/or graphically). dr (a) =r - x - e. dt (b) = (r – (x – 1)°) x. (c) = u+x – In(1+x). dt dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find all possible bifurcation points and their types (analytically and/or graphically).
dx
(a) = r – x - e.
dt
(b) = (r – (x – 1)*) x.
(c) = u+x – ln(1+x).
%3D
dt
dr
%3D
dt
|
(d)
dr
dt
=1+xµ+x².
Transcribed Image Text:Find all possible bifurcation points and their types (analytically and/or graphically). dx (a) = r – x - e. dt (b) = (r – (x – 1)*) x. (c) = u+x – ln(1+x). %3D dt dr %3D dt | (d) dr dt =1+xµ+x².
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