A population P obeys the logistic model. It satisfies the equation dP dt 5 P(9 P) for P> 0. 900 9 (c) Assume that P(0) = 3. Find P(67). P(67) = 8 of
A population P obeys the logistic model. It satisfies the equation dP dt 5 P(9 P) for P> 0. 900 9 (c) Assume that P(0) = 3. Find P(67). P(67) = 8 of
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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Question
find part c

Transcribed Image Text:A population Pobeys the logistic model. It satisfies the equation
dP
P(9 - P) for P> 0.
dt
900
(a) The population is increasing when 0
< P<9
(b) The population is decreasing when P > 9
(c) Assume that P(0) = 3. Find P(67).
P(67) = 8
of
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