(a) Derive the solution of the extinction-explosion

Chapter 2, Problem 33P

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QUESTION:

Problem 33P

(a) Derive the solution

of the extinction-explosion initial value problem P′ = kP(P − M), P(0) = P0.

(b) How does the behavior of P(t) as t increases depend on whether 0 < P0 < M or P0 > M?

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QUESTION:

Problem 33P

(a) Derive the solution

of the extinction-explosion initial value problem P′ = kP(P − M), P(0) = P0.

(b) How does the behavior of P(t) as t increases depend on whether 0 < P0 < M or P0 > M?

ANSWER:

Problem 33P

(a) Derive the solution

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