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number who have not heard it, determine an equation for the number of students who have hear the rumor at any time t.

number who have not heard it, determine an equation for the number of students who have hear the rumor at any time t.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the given differential equation

Suppose a student decided to start a rumor that a quiz would be given that day in a class of 300 students. After 1 minute, this student counted 50 classmates that had heard of the quiz. If it is assumed that the rate at which the rumor spreads is proportional to the number of students who have heard the rumor as well as the number who have not heard it, determine an equation for the number of students who have hear the rumor at any time t.
Transcribed Image Text:Suppose a student decided to start a rumor that a quiz would be given that day in a class of 300 students. After 1 minute, this student counted 50 classmates that had heard of the quiz. If it is assumed that the rate at which the rumor spreads is proportional to the number of students who have heard the rumor as well as the number who have not heard it, determine an equation for the number of students who have hear the rumor at any time t.
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