The total number of reported cases of an illness in a large city tt days after the start of an outbreak is modeled by the function y=F(t)y=F(t) that is a solution to the logistic differential equation dydt=15600y(1400−y)dydt=15600y(1400−y). If there are 5 reported cases of the illness initially, what is the limiting value for the total number of reported cases of the illness as tt increases?

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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.