Question: Consider the differential equation dp dy = p(p 2 1) k, where k is a constant that can be varied. a. What are

Consider the differential equation dp dy

= p(p 2 − 1) − k, where k is a constant that can be varied.

a. What are the equilibria when k = 0 and are they sinks, sources, or nodes?

b. At what values of k are there exactly two equilibria? For each value of k for which there are exactly two equilibria, calculate the value of p at the node.

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