Solution Found!
P(t) in a suburb of a large city is given by the
Chapter 3, Problem 3E(choose chapter or problem)
A model for the population P(t) in a suburb of a large city is given by the initial-value problem,
\(\frac{d P}{d t}=P\left(10^{-1}-10^{-7} P\right), \quad P(0)=5000\)
where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one-half of this limiting value?
Text Transcription:
frac{d P}{d t}=P\left(10^{-1}-10^{-7} P\right), \quad P(0)=5000
Questions & Answers
QUESTION:
A model for the population P(t) in a suburb of a large city is given by the initial-value problem,
\(\frac{d P}{d t}=P\left(10^{-1}-10^{-7} P\right), \quad P(0)=5000\)
where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one-half of this limiting value?
Text Transcription:
frac{d P}{d t}=P\left(10^{-1}-10^{-7} P\right), \quad P(0)=5000
ANSWER:Step 1 of 5
In this problem we need to find the limiting value of the population and we need to find at what time will the population be equal to one half of this limiting value.