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Suppose that after t hours the size of a population of cells is N(t) and half of the cells divide every hour. Assume that

Suppose that after t hours the size of a population of cells is N(t) and half of the cells divide every hour. 

Suppose that after t hours the size of a population of cells is N(t) and half of the cells divide every hour. Assume that cell death can be ignored. (a) Write down a differential equation that models the situation. (b) Write down a solution to the differential equation. What does this mean? What are we looking for?

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