In a city of a fixed population of "P" people , the rate of change (with respect to timet) 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 KN (P+ Ν ) dt dN K[N + (P - N)] %3D dt dP KN (P- N) dt dN KN (P N) dt

In a city of a fixed population of "P" people , the rate of change (with respect to timet) 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 KN (P+ Ν ) dt dN K[N + (P - N)] %3D dt dP KN (P- N) dt dN KN (P N) dt

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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Question

100%

Differential Equation

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?
KN (P + N)
dt
= K N +(P
dt
– N))
dP
dt
KN(P
- N)
KN(P N)
dt

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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