The Reed-Frost model for the spread of an epidemic predicts that the number I of newly infected people is  I = S(1 − e−rx),  where S is the number of susceptible people, r is the effective contact rate, and x is the number of infectious people.† Suppose that a school reports an outbreak of measles with  x = 17  cases, and that the effective contact rate is  r = 0.1.  If the number of susceptibles is  S = 200,  use the Reed-Frost model to estimate how many students will be newly infected during this stage of the epidemic. (Round your answer to the nearest whole number.) I = _________

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A: The solution of above question is written below.

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A: topic - differential equation

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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.