In the first six months of the 2014 Ebola outbreak, the total number of reported cases was increasing at a continuous rate of about 72% per month. There were about 100 cases as of April 1, 2014. Find an exponential model in the form C(t)=Ae^rt  for the number of cases "t" months after April 1, 2014, and use it to predict the number of cases as of August 1, 2014. (The actual number of reported cases was 1603 .)

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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.