a differential equation that models the given situation. The stated rate of change is with respect to time t. (Use k for the proportionality constant.) A news story is spreading within a city of fixed population N. The rate of change of the number y of individuals who have heard the story at tin proportional to the product of the number of individuals in the population who have heard the story, and the number of individuals who have r heard the story.

College Algebra
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Author:Ron Larson
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Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
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Write a differential equation that models the given situation. The stated rate of change is with respect to time t. (Use k for the proportionality constant.)
A news story is spreading within a city of fixed population N. The rate of change of the number y of individuals who have heard the story at timet is
proportional to the product of the number of individuals in the population who have heard the story, and the number of individuals who have not yet
heard the story.
dy
dt
Transcribed Image Text:Write a differential equation that models the given situation. The stated rate of change is with respect to time t. (Use k for the proportionality constant.) A news story is spreading within a city of fixed population N. The rate of change of the number y of individuals who have heard the story at timet is proportional to the product of the number of individuals in the population who have heard the story, and the number of individuals who have not yet heard the story. dy dt
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