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
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
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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Question
![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
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69bc8982-154c-420b-9d1d-a1b427b7632f%2F5b868ffa-6557-4f5f-b3d1-a0514ce1e2b5%2Fj97te7i_processed.png&w=3840&q=75)
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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