Suppose the initial population is Po = 270, the point of inflection is (15,1200), and the time is measured in %3D dP months. Answer the following parts (a) through (c) using the inhibited growth model dt = kP(L-P). %3D a) Find the limiting population L. b) Use the result of part (a) to find k; then find the particular solution P. C) When will the population reach 800?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose the initial population is Po = 270, the point of inflection is (15,1200), and the time is measured in
dP
%3D
= kP(L- P).
dt
months. Answer the following parts (a) through (c) using the inhibited growth model
a) Find the limiting population L.
b) Use the result of part (a) to find k; then find the particular solution P.
c) When will the population reach 800?
Transcribed Image Text:Suppose the initial population is Po = 270, the point of inflection is (15,1200), and the time is measured in dP %3D = kP(L- P). dt months. Answer the following parts (a) through (c) using the inhibited growth model a) Find the limiting population L. b) Use the result of part (a) to find k; then find the particular solution P. c) When will the population reach 800?
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