(Solved) The number N(t) of people in a community who are exposed to a particular advertisement is governed by the logistic equation. Initially, N(0)=500,
Question: The number \(N(t)\) of people in a community who are exposed to a particular advertisement is governed by the logistic equation. Initially, \(N(0)=500\), and it is observed that \(N(1)=1000 .\) Solve for \(N(t)\) if it is predicted that the limiting number of people in the community who will see the advertisement is 50,000 .
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![[Step-by-Step] Three large tanks contain brine, as](/images/solutions/MC-solution-library-60258.jpg "[Step-by-Step] Three large tanks contain brine, as shown in Figure")
[Step-by-Step] Three large tanks contain brine, as shown in Figure
![[Solution Library] (a) Verify that y_p_1=3 e^2](/images/solutions/MC-solution-library-60259.jpg "[Solution Library] (a) Verify that y_p_1=3 e^2 x and y_p_2=x^2+3")
[Solution Library] (a) Verify that y_p_1=3 e^2 x and y_p_2=x^2+3
(See Steps) The indicated function y_1(x) is a solution of the
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[All Steps] Use a CAS as an aid in solving the auxiliary equation.
![[All Steps] Find a particular solution of](/images/solutions/MC-solution-library-60262.jpg "[All Steps] Find a particular solution of the given differential")
[All Steps] Find a particular solution of the given differential
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