Beginner Differential Equations - Growth Rate Question

Let N(t) represent the number of humans on Earth at year t.

We shall assume that the population is continuously changing.

Suppose the number of humans on Earth on the first day of the year in 1960 (which we shall set at: t = 0) is 3 billion.

The growth rate of the population may be defined by:

(1/N)(dN/dt)

Assuming a constant growth rate of 3%, what population level (in billions) does this model predict for the first day of the year 1995?

Answer correct to 2 decimal places.

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