A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A simple model of epidemic assumes that during the course on an epidemic, the rate of change on the number of infected students (1) with respect to time is directly proportional to the number of infected students (I) and also directly proportional to the number of uninfected students (100-1). If at time t = 0 a single student becomes infected, determine the following:
A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A simple model of epidemic assumes that during the course on an epidemic, the rate of change on the number of infected students (1) with respect to time is directly proportional to the number of infected students (I) and also directly proportional to the number of uninfected students (100-1). If at time t = 0 a single student becomes infected, determine the following:
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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Question
![A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A simple model
of epidemic assumes that during the course on an epidemic, the rate of change on the number of infected students
(1) with respect to time is directly proportional to the number of infected students (1) and also directly proportional
to the number of uninfected students (100-1). If at time t = 0 a single student becomes infected, determine the
following:
A. The value of C in four decimal places
Answer:
B. If k = 0.01, how many students are infected after 3 days? (Round off your answer in nearest integer)
Answer:
C. If k = 0.01, how many students are infected after 6 days? (Round off your answer in nearest integer)
Answer:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b271a48-60fb-4543-b2c1-f07941ec5620%2F565acd41-fe0f-4a2e-9d80-6cbf650e2736%2Fusj2gr_processed.png&w=3840&q=75)
Transcribed Image Text:A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A simple model
of epidemic assumes that during the course on an epidemic, the rate of change on the number of infected students
(1) with respect to time is directly proportional to the number of infected students (1) and also directly proportional
to the number of uninfected students (100-1). If at time t = 0 a single student becomes infected, determine the
following:
A. The value of C in four decimal places
Answer:
B. If k = 0.01, how many students are infected after 3 days? (Round off your answer in nearest integer)
Answer:
C. If k = 0.01, how many students are infected after 6 days? (Round off your answer in nearest integer)
Answer:
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