(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
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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)?
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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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,