A population of bacteria grows logistically. Suppose that the initial population is 3 mg of bacteria, the carrying capacity is 100 mg, and the growth parameter is 0.2hour−1. (a) Find the differential equation satisfied by the population. (b) Find the population at all times. (c) When will the population reach 90 mg?

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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.