Consider an autonomous differential equation -f(y) for which the graph of f(y) vs y is shown below. (-20) -1 a) List the equilibrium solutions of this 4-5). dt (24) (4.0)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
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Question 8
:SHOW your work.
Consider an autonomous differential equation -f(y) for which the graph of f(y) vs
y is shown below.
(20)
-1
a) List the equilibrium solutions of
this
dt
(4-16).
(2,4)
(4:0)
Transcribed Image Text:Question 8 :SHOW your work. Consider an autonomous differential equation -f(y) for which the graph of f(y) vs y is shown below. (20) -1 a) List the equilibrium solutions of this dt (4-16). (2,4) (4:0)
b) Draw the phase line with arrows that indicate where y(t) is increasing and where
it is decreasing. Justify the direction of the arrows based on the graph of f(y) vs y.
-5
4
3
2
4
-0
14
Transcribed Image Text:b) Draw the phase line with arrows that indicate where y(t) is increasing and where it is decreasing. Justify the direction of the arrows based on the graph of f(y) vs y. -5 4 3 2 4 -0 14
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,