In a nursery, the reason for spreading a virus epidemic is equal to half of those who have not gotten sick yet. if 200 children are enrolled in the nursery, give a differential equation for the number of children infected N with respect to time t in days. Solve the differential equation to answer the following: If a sick  child started the epidemic, will they all be infected three days later?

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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.