1. A single student carrying a highly contagious acne virus returns to a UJ residence with 300 in- mates. The residence is immediately isolated by the university authorities. From studies made of comparable outbreaks it is known that the rate at which the virus spreads is proportional to the number of infected students as well as to the number of students not affected. After four days. 20 of the students in the residence are already infected. How long does it take for 90% of the students to be infected?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. A single student carrying a highly contagious acne virus returns to a UJ residence with 300 in-
mates. The residence is immediately isolated by the university authorities. From studies made
of comparable outbreaks it is known that the rate at which the virus spreads is proportional to
the number of infected students as well as to the number of students not affected. After four
days. 20 of the students in the residence are already infected. How long does it take for 90% of
the students to be infected?
Transcribed Image Text:1. A single student carrying a highly contagious acne virus returns to a UJ residence with 300 in- mates. The residence is immediately isolated by the university authorities. From studies made of comparable outbreaks it is known that the rate at which the virus spreads is proportional to the number of infected students as well as to the number of students not affected. After four days. 20 of the students in the residence are already infected. How long does it take for 90% of the students to be infected?
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