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One Model for the Spread of a Rumor Is That

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One model for the spread of a rumor is that the rate of spread is proportional to the product of the fraction of the population who have heard the rumor and the fraction who have not heard the rumor. Let's assume that the constant of proportionality is One model for the spread of a rumor is that the rate of spread is proportional to the product of the fraction of the population who have heard the rumor and the fraction who have not heard the rumor. Let's assume that the constant of proportionality is   . Write a differential equation that is satisfied by y. . Write a differential equation that is satisfied by y.


Definitions:

Social Reality

Constructs created by society and individuals that are perceived as real, influencing understanding and behavior in the social world.

Self-consciousness

The awareness of oneself as an individual, especially the consciousness of one's own thoughts, feelings, and identity.

Counterargument

An argument offered in opposition to another argument, typically used to weaken or refute an original claim.

Indeterminists

Indeterminists believe in the principle that not all events, including certain human actions, are necessarily determined by previously existing causes.

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