. In one model of the changing population P(t) of a community, it is assumed that 4 = -, where and are the birth and death rates, respectively. (a) Solve for P(t) if dB/dt = k¡P and dP/dt = k½P. (b) Analyze the case k1 > k2, ki = k2, and kı < k2.

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4. In one model of the changing population P(t) of a community, it is assumed
that 4 = 4-4, where f and
are the birth and death rates, respectively.
%3D
(a) Solve for P(t) if dB/dt = kịP and dP/dt = k2P.
(b) Analyze the case ki > k2, ki = k2, and ki < k2.
Transcribed Image Text:4. In one model of the changing population P(t) of a community, it is assumed that 4 = 4-4, where f and are the birth and death rates, respectively. %3D (a) Solve for P(t) if dB/dt = kịP and dP/dt = k2P. (b) Analyze the case ki > k2, ki = k2, and ki < k2.
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