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4. In one model of the changing population P(t) of a community, it is assumed -, where and are the birth and death rates, respectively. (a) Solve for P(t) if dB/dt = k¡P and dP/dt = k2P. %3D (b) Analyze the case k1 > k2, ki = k2, and kı < k2. %3D

4. In one model of the changing population P(t) of a community, it is assumed -, where and are the birth and death rates, respectively. (a) Solve for P(t) if dB/dt = k¡P and dP/dt = k2P. %3D (b) Analyze the case k1 > k2, ki = k2, and kı < k2. %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. In one model of the changing population P(t) of a community, it is assumed that = -, where and # are the birth and death rates, respectively. %3D (a) Solve for P(t) if dB/dt = k¡P and dP/dt = k2P. (b) Analyze the case k1 > k2, ki = k2, and kı < k2.
Transcribed Image Text:4. In one model of the changing population P(t) of a community, it is assumed that = -, where and # are the birth and death rates, respectively. %3D (a) Solve for P(t) if dB/dt = k¡P and dP/dt = k2P. (b) Analyze the case k1 > k2, ki = k2, and kı < k2.
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