Problem

(a) Use PhaseLines to investigate the bifurcation diagram for the differential equat...

(a) Use PhaseLines to investigate the bifurcation diagram for the differential equation

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

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?

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Solutions For Problems in Chapter 1.7

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