Question: (a) Derive the solution of the extinction-explosion initial value problem P' = kP(P - M), P(0) = P 0 .(b) How does the behavior of

(a) Derive the solution

P(t)= MPo Po +(M-Po)ek Mt

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 0 0 > M?

P(t)= MPo Po +(M-Po)ek Mt

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