During the period from 1790 to 1920, a country's population P (t) (t - in years) grew from 4.1 million to 121.3 million. Throughout this period, P (t) remained close to the solution of the initial value problem dP dt = 0.03128 P – 0.0001493 P², P (0) = = 4.1. Answer the following: (a) The logistic equation predicts the population in 1930to be million. (b) The limiting population the logistic equation predicts is million. (c) The country's population in 2000 was 325million. Has this logistic equation continued since 1930 to accurately model the country's population? (Yes or No)
During the period from 1790 to 1920, a country's population P (t) (t - in years) grew from 4.1 million to 121.3 million. Throughout this period, P (t) remained close to the solution of the initial value problem dP dt = 0.03128 P – 0.0001493 P², P (0) = = 4.1. Answer the following: (a) The logistic equation predicts the population in 1930to be million. (b) The limiting population the logistic equation predicts is million. (c) The country's population in 2000 was 325million. Has this logistic equation continued since 1930 to accurately model the country's population? (Yes or No)
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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Transcribed Image Text:During the period from 1790 to 1920, a country's
population P (t) (t - in years) grew from 4.1 million to
121.3 million.
Throughout this period, P (t) remained close to the
solution of the initial value problem
dP
dt
=
0.03128 P – 0.0001493 P², P (0) =
=
4.1.
Answer the following:
(a) The logistic equation predicts the population in 1930to
be
million.
(b) The limiting population the logistic equation predicts is
million.
(c) The country's population in 2000 was 325million.
Has this logistic equation continued since 1930 to
accurately model the country's population?
(Yes or No)
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