Circle all correct statements for the following autonomous equation: dx (x- 2)(x – 4)(x -7) dt a) The equilibrium x=2 is unstable b) if x(0)< 2, then lim,-o x(t) = 2 c) if x(0)< 2, then lim, x(t) = -0 !! d) if x(0) > 7, then lim, x(t) = 7 e) if x(0) > 7, then lim, x(t) = +00

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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Circle all correct statements for the following autonomous equation:
dx
= (x- 2)(x - 4)(x - 7)
dt
a) The equilibrium x=2 is unstable
b) if x(0)< 2, then lim, x(t) = 2
c) if x(0)< 2, then lim,. x(t) = -00
d) if x(0) > 7, then lim, x(t) = 7
!!
e) if x(0) > 7, then lim, o x(t)
= +o0
Transcribed Image Text:Circle all correct statements for the following autonomous equation: dx = (x- 2)(x - 4)(x - 7) dt a) The equilibrium x=2 is unstable b) if x(0)< 2, then lim, x(t) = 2 c) if x(0)< 2, then lim,. x(t) = -00 d) if x(0) > 7, then lim, x(t) = 7 !! e) if x(0) > 7, then lim, o x(t) = +o0
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