In a city of a fixed population of " people , the rate of change (with respect to time t) of the number "N" of people with a certain contagious disease is proportional to the product of the number who have disease and the number who do not. Which option is a differential equation which describes this situation?
In a city of a fixed population of " people , the rate of change (with respect to time t) of the number "N" of people with a certain contagious disease is proportional to the product of the number who have disease and the number who do not. Which option is a differential equation which describes this situation?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 53E
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Question
![In a city of a fixed population of "P"
people , the rate of change (with
respect to time t) of the number
"N" of people with a certain
contagious disease is proportional
to the product of the number who
have disease and the number who
do not. Which option is a
differential equation which
describes this situation?
dN
K [N + (P – N)]
dt
dN
= KN (P –
dt
N)
dP
KN (P – N)
dt
dN
= KN (P + N)
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3945df9-52c2-498d-aa0d-7228535bb2fe%2Fac91ae24-2a6c-4386-825c-97dc554f1a69%2Fymmul3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In a city of a fixed population of "P"
people , the rate of change (with
respect to time t) of the number
"N" of people with a certain
contagious disease is proportional
to the product of the number who
have disease and the number who
do not. Which option is a
differential equation which
describes this situation?
dN
K [N + (P – N)]
dt
dN
= KN (P –
dt
N)
dP
KN (P – N)
dt
dN
= KN (P + N)
dt
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