A particularly virulent form of human-adapted mad cow disease sweeps across the world transforming most of the world into ravenous zombies. The zombie population obeys the law of uninhibited growth. A small group of survivors find an uninfected haven. On the first day in the safe haven, 15 people ate contaminated hamburger and turned into zombies. Ten days later, there are 300 zombies. What is the size of the zombie population after 16 days? Use A(t)=A0e^kt, where t represents the number of days that have passed since the first zombies appeared. Show your work

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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.