When a person swallows giardia cysts, stomach acids and pancreatic enzymes cause the cysts to release trophozoites, which divide every 12 hours. Source: The New York Times. a. Suppose the number of trophozoites at time t = 0 is y0. Write a function in the form y = y0ekt giving the number after t hours. b. Write the function from part a in the form y = y02f(t) c. The article cited above said that a single trophozoite can multiply to a million in just 10 days and a billion in 15 days. Verify this fact

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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.