3. A particularly virulent vomiting bug spreads through a town of 15,000 people at a rate proportional to the number of people who have not yet been infected. Let N be the number of people infected and t be the time, in days. Initially, one person has a vomiting bug. a. Form a differential equation from the information above. b. If half the population is infected after 10 days, express N as a function of t. c. When will 90% of people be infected?
3. A particularly virulent vomiting bug spreads through a town of 15,000 people at a rate proportional to the number of people who have not yet been infected. Let N be the number of people infected and t be the time, in days. Initially, one person has a vomiting bug. a. Form a differential equation from the information above. b. If half the population is infected after 10 days, express N as a function of t. c. When will 90% of people be infected?
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:3. A particularly virulent vomiting bug spreads through a town of 15,000 people at a rate
proportional to the number of people who have not yet been infected. Let N be the number
of people infected and t be the time, in days. Initially, one person has a vomiting bug.
a. Form a differential equation from the information above.
b. If half the population is infected after 10 days, express N as a function of t.
c. When will 90% of people be infected?
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