During the period from 1790 to 1910, a country's population P(t) (t in years) grew from 3.7 million to 84.7 million. Throughout this period, P(t) remained close to the solution of the initial value dP problem -= 0.03144P -0.0001486P², P(0) = 3.7. dt (a) What 1910 population does this logistic equation predict? (b) What limiting population does it predict? (c) The country's population in 2000 was 310 million. Has this logistic equation continued since 1910 to accurately model the country's population?
During the period from 1790 to 1910, a country's population P(t) (t in years) grew from 3.7 million to 84.7 million. Throughout this period, P(t) remained close to the solution of the initial value dP problem -= 0.03144P -0.0001486P², P(0) = 3.7. dt (a) What 1910 population does this logistic equation predict? (b) What limiting population does it predict? (c) The country's population in 2000 was 310 million. Has this logistic equation continued since 1910 to accurately model the country's population?
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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![During the period from 1790 to 1910, a country's population P(t) in years) grew from 3.7 million to 84.7 million. Throughout this period, P(t) remained close to the solution of the initial value
dP
problem = 0.03144P -0.0001486P², P(0) = 3.7.
dt
(a) What 1910 population does this logistic equation predict?
(b) What limiting population does it predict?
(c) The country's population in 2000 was 310 million. Has this logistic equation continued since 1910 to accurately model the country's population?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F671be518-f9e6-4df9-9304-33791fefeccb%2F26aaaa6a-463f-4774-915b-03f9d049561f%2Fe059kt8_processed.png&w=3840&q=75)
Transcribed Image Text:During the period from 1790 to 1910, a country's population P(t) in years) grew from 3.7 million to 84.7 million. Throughout this period, P(t) remained close to the solution of the initial value
dP
problem = 0.03144P -0.0001486P², P(0) = 3.7.
dt
(a) What 1910 population does this logistic equation predict?
(b) What limiting population does it predict?
(c) The country's population in 2000 was 310 million. Has this logistic equation continued since 1910 to accurately model the country's population?
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