An infectious disease is spreading at rate proportional to the number of people with the disease, or dPdt=kPdPdt=kP. The general solution to this differential equation is P=CektP=Cekt.On the initial day (day 0) of measuring the outbreak, there were 118 confirmed cases. By day 8 there were 358 confirmed cases. If no measures are taken to control the outbreak,A) How many people will be infected by day 14?    B) After how many days will the number of infected people be 10,000?

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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.