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A population of zebras is modeled by P(t) which is an initial value problem. Assume t is measured in months. dP dt = P(102-10-8P), P(0) = 20000 b) a) What is the limiting value of the population? After how many months will the population be equal to one quarter of the limiting value in (a)? Do Not round any of your numbers for this question your answer must be exact and symbolically written. Please write neatly so I can understand don't type it in latex. I will give you a like!!

A population of zebras is modeled by P(t) which is an initial value problem. Assume t is measured in months. dP dt = P(102-10-8P), P(0) = 20000 b) a) What is the limiting value of the population? After how many months will the population be equal to one quarter of the limiting value in (a)? Do Not round any of your numbers for this question your answer must be exact and symbolically written. Please write neatly so I can understand don't type it in latex. I will give you a like!!

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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A population of zebras is modeled by P(t) which is an initial value problem. Assume t is measured in months. dP dt = P(10²-10-8P), P(0) = 20000 b) a) What is the limiting value of the population? After how many months will the population be equal to one quarter of the limiting value in (a)? Do Not round any of your numbers for this question your answer must be exact and symbolically written. Please write neatly so I can understand don't type it in latex. I will give you a like!!
Transcribed Image Text:A population of zebras is modeled by P(t) which is an initial value problem. Assume t is measured in months. dP dt = P(10²-10-8P), P(0) = 20000 b) a) What is the limiting value of the population? After how many months will the population be equal to one quarter of the limiting value in (a)? Do Not round any of your numbers for this question your answer must be exact and symbolically written. Please write neatly so I can understand don't type it in latex. I will give you a like!!
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