TASK 02 Part A The rate of change of a population of bacteria in a petri-dish can be described as the difference between the birth rate and the death rate. If the birth rate = bx, where b is a constant and x is the number of bacteria, and if death rate=px^2, where p is a constant, answer the following questions based on the description provided. 2.A.1) Provide the differential equation related to the rate of change of bacterial population with time based on the above given information. 2.A.2) If b=1, and p=0.8, solve the differential equation stated in 2.1 using Matlab assuming there were 1500 bacteria present in the dish initially. (Provide a clear screen shot of the code and solution obtained in the answer script) 2.A.3) "ezplot" command is useful to obtain a quick visualization of a function. Plot a graph of the solution using the 'ezplot' command to show the population of bacteria present after 2 hours. 2.A.4) Comment on the state of the population of bacteria after 2 hours using the graph plotted above.
TASK 02 Part A The rate of change of a population of bacteria in a petri-dish can be described as the difference between the birth rate and the death rate. If the birth rate = bx, where b is a constant and x is the number of bacteria, and if death rate=px^2, where p is a constant, answer the following questions based on the description provided. 2.A.1) Provide the differential equation related to the rate of change of bacterial population with time based on the above given information. 2.A.2) If b=1, and p=0.8, solve the differential equation stated in 2.1 using Matlab assuming there were 1500 bacteria present in the dish initially. (Provide a clear screen shot of the code and solution obtained in the answer script) 2.A.3) "ezplot" command is useful to obtain a quick visualization of a function. Plot a graph of the solution using the 'ezplot' command to show the population of bacteria present after 2 hours. 2.A.4) Comment on the state of the population of bacteria after 2 hours using the graph plotted above.
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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Transcribed Image Text:TASK 02
Part A
The rate of change of a population of bacteria in a petri-dish can be described as the difference between
the birth rate and the death rate. If the birth rate = bx, where b is a constant and x is the number of
bacteria, and if death rate= px^2, where p is a constant, answer the following questions based on the
description provided.
2.A.1) Provide the differential equation related to the rate of change of bacterial population with time
based on the above given information.
2.A.2) If b=1, and p=-0.8, solve the differential equation stated in 2.1 using Matlab assuming there were
1500 bacteria present in the dish initially. (Provide a clear screen shot of the code and solution obtained in
the answer script)
2.A.3) "ezplot" command is useful to obtain a quick visualization of a function. Plot a graph of the
solution using the 'ezplot' command to show the population of bacteria present after 2 hours.
2.A.4) Comment on the state of the population of bacteria after 2 hours using the graph plotted above.
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