(3) In one model of the changing population P(t) of a community it is assumed that dP dB dD dt dt dt where dB/dt and dD/dt are the birth and death rates; respectively. (i) Solve for P(t) if dB = KP and dD = KP. dt (ii) Analyse the cases K1 > K2, K1 = K2, KI < K2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(3) In one model of the changing population P(t) of a community it is assumed that
dP dB dD
dt
dt
dt
where dB/dt and dD/dt are the birth and death rates; respectively.
(i) Solve for P(t) if
dB
dD
= KP and
dt
K2P.
(ii) Analyse the cases K1 > K2, K1 = K2, K1 < K2.
Transcribed Image Text:(3) In one model of the changing population P(t) of a community it is assumed that dP dB dD dt dt dt where dB/dt and dD/dt are the birth and death rates; respectively. (i) Solve for P(t) if dB dD = KP and dt K2P. (ii) Analyse the cases K1 > K2, K1 = K2, K1 < K2.
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