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I have posted a link there to this thread so the OP can view my work.Differential Equation Problem?

A bacterium doubles in population every 6 hours. If the area that the bacterium is spread

over is proportional to its population (that is, if the population density remains constant),

and begins at 1 cm2, how long will it take the bacterium to fill the entire area of a Petri dish

of radius 2cm?