uring a flu epidemic 1 percent of the 100 pupils at a school had the illness at a time t = 0. It was und that the rate at which pupils were contracting the flu was directly proportional to the product the number of pupils who had the flu and the remaining pupils who were not yet infected. If 5 ercent of the pupils had contracted the illness after t = 5 days, find the number of pupils who had ntracted the flu after t = 10 days.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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During a flu epidemic 1 percent of the 100 pupils at a school had the illness at a time t = 0. It was
found that the rate at which pupils were contracting the flu was directly proportional to the product
of the number of pupils who had the flu and the remaining pupils who were not yet infected. If 5
percent of the pupils had contracted the illness after t = 5 days, find the number of pupils who had
contracted the flu after t =
10 days.
Transcribed Image Text:During a flu epidemic 1 percent of the 100 pupils at a school had the illness at a time t = 0. It was found that the rate at which pupils were contracting the flu was directly proportional to the product of the number of pupils who had the flu and the remaining pupils who were not yet infected. If 5 percent of the pupils had contracted the illness after t = 5 days, find the number of pupils who had contracted the flu after t = 10 days.
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