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 atwhich the rumor spreads is proportional to the number of students who have heard the rumor as well as thenumber who have not heard it, determine an equation for the number of students who have hear the rumor atany time t.

We have to find out the equation of the given problem.

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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.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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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.

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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