1. a) The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increases by 15% in 10 years. What will be the population in 30 years?. How fast is the population growing at t = 30?. b) For the following population model (in billions): dP/dt = P − 144P^2 P(0) = 7 Describe the behavior of P(t) as t → +∞?. c)
1. a) The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increases by 15% in 10 years. What will be the population in 30 years?. How fast is the population growing at t = 30?. b) For the following population model (in billions): dP/dt = P − 144P^2 P(0) = 7 Describe the behavior of P(t) as t → +∞?. c)
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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1. a) The population of a town grows at a rate proportional to the population
present at time t. The initial population of 500 increases by 15% in 10 years.
What will be the population in 30 years?. How fast is the population growing
at t = 30?.
b) For the following population model (in billions):
dP/dt = P − 144P^2
P(0) = 7 Describe the behavior of P(t) as t → +∞?.
c)
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