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Professor Mike starts an experiment using bacteria with a population of n. It is found that the rate of the population growth of the bacteria is given by = 0.005y dy where is the population y at dt time t minutes after the experiment starts. а. Choose any value of n between 200 and 700, and use it to find: i. The general solution for y. ii. The particular solution for y. b. Estimate the population of the bacteria at time, t = 100 minutes.

Professor Mike starts an experiment using bacteria with a population of n. It is found that the rate of the population growth of the bacteria is given by = 0.005y dy where is the population y at dt time t minutes after the experiment starts. а. Choose any value of n between 200 and 700, and use it to find: i. The general solution for y. ii. The particular solution for y. b. Estimate the population of the bacteria at time, t = 100 minutes.

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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Professor Mike starts an experiment using bacteria with a population of n. It is found that the rate of the population growth of the bacteria population dy given by is at is * = 0.005y where the y dt time t minutes after the experiment starts. а. Choose any value of n between 200 and 700, and use it to find: i. The general solution for y. ii. The particular solution for y. b. Estimate the population of the bacteria at time, t = 100 minutes.
Transcribed Image Text:Professor Mike starts an experiment using bacteria with a population of n. It is found that the rate of the population growth of the bacteria population dy given by is at is * = 0.005y where the y dt time t minutes after the experiment starts. а. Choose any value of n between 200 and 700, and use it to find: i. The general solution for y. ii. The particular solution for y. b. Estimate the population of the bacteria at time, t = 100 minutes.
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