The count in a bateria culture was 600 after 20 minutes and 1900 after 30 minutes. Assuming the bacteria counts N at time t obeys the uninhibited growth model N(t) = A · ekt, the following questions: answer What was the initial size of the culture? Find the doubling period. Find the population after 90 minutes. When will the population reach 14000.

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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.