The differential equation dP = 10-4 P(318-1.7P) dt models the growth of the United States population (P), measured in millions between the years 1790 and 2010. If the population was 3.9 million in 1790, estimate the population size in 2010. Soln: P 187.09 million

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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The differential equation
dP
10-4 P(3181.7P)
dt
models the growth of the United States population (P), measured in millions between the years 1790 and 2010.
If the population was 3.9 million in 1790, estimate the population size in 2010. Soln: P 187.09 million
=
Transcribed Image Text:The differential equation dP 10-4 P(3181.7P) dt models the growth of the United States population (P), measured in millions between the years 1790 and 2010. If the population was 3.9 million in 1790, estimate the population size in 2010. Soln: P 187.09 million =
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