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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)

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)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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