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Question

- The population
*P*=*P*(*t*) of a species satisfifies the logistic equation

*P'*= *aP*(1-*bP*)*, P*(0) = *P0* *> *0*. *

(a) Find *P *for *t > *0.

(b) Find the limit of *P*(*t*) as *t **→ ∞*. What does this mean in terms of the population?

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Calculus

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