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Mathematics Homework Solutions
#145380
Differential Equations : Phase Lines and Bifurcation Diagrams
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22. (a) Use PhaseLines to investigate the bifurcation diagram for the differential equation
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where a is a parameter. Describe the different types of phase lines that occur.
(b) What are the bifurcation values for the one-parameter family in part (a)?
(c) Use PhaseLines to investigate the bifurcation diagram for the differential equation
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where r is a positive parameter. How does the bifurcation diagram change from the r = 0 case (see part (a))?
(d) Suppose r is negative in the equation in part (c). How does the bifurcation diagram change?
Differential Equations, Phase Lines and Bifurcation Diagrams are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
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