(a) Use PhaseLines to investigate the bifurcation diagram for the differential equation dy dt =ay - y³, 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)?
(a) Use PhaseLines to investigate the bifurcation diagram for the differential equation dy dt =ay - y³, 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)?
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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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I only need (b) please. Thank you!
![23. (a) Use PhaseLines to investigate the bifurcation diagram for the differential
equation
dy
dt
=ay - y³,
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)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02681530-b6ca-4d72-bfd1-7260256101ab%2F5aa440ec-15df-44c5-a0ce-bd42248af2f9%2Fqv0x8y_processed.png&w=3840&q=75)
Transcribed Image Text:23. (a) Use PhaseLines to investigate the bifurcation diagram for the differential
equation
dy
dt
=ay - y³,
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)?
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