Assume that the number of bacteria follows an exponential growth model: P(t) = Poekt. The count in the bacteria culture was 700 after 15 minutes and 1700 after 35 minutes. (a) What was the initial size of the culture? (b) Find the population after 75 minutes. (c) How many minutes after the start of the experiment will the population reach 15000?

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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.