Suppose the initial population is Po = 220, the point of inflection is (16,1600), and the time is measured in dP months. Answer the following parts (a) through (c) using the inhibited growth model = kP(L-P). dt 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 900?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Suppose the initial population is Po = 220, the point of inflection is (16,1600), and the time is measured in
dP
months. Answer the following parts (a) through (c) using the inhibited growth model
= kP(L - P).
dt
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 900?
Transcribed Image Text:Suppose the initial population is Po = 220, the point of inflection is (16,1600), and the time is measured in dP months. Answer the following parts (a) through (c) using the inhibited growth model = kP(L - P). dt 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 900?
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