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A model for a certain population P(t) is given by the initial value problem dP P(10-1-10-6P), P(0) 1000, dt = =

A model for a certain population P(t) is given by the initial value problem dP P(10-1-10-6P), P(0) 1000, dt = =

Advanced Engineering Mathematics
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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Problem #6: A model for a certain population P(t) is given by the initial value problem dP = P(101-10-6P), P(0) 1000, dt where t is measured in months. (a) What is the limiting value of the population? (b) At what time (i.e., after how many months) will the populaton be equal to one ninth of the limiting value in (a)? (Do not round any numbers for this part. You work should be all symbolic.)
Transcribed Image Text:Problem #6: A model for a certain population P(t) is given by the initial value problem dP = P(101-10-6P), P(0) 1000, dt where t is measured in months. (a) What is the limiting value of the population? (b) At what time (i.e., after how many months) will the populaton be equal to one ninth of the limiting value in (a)? (Do not round any numbers for this part. You work should be all symbolic.)
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