A population grows at the rate of 8% per year. How long does it take for the population to double? Use differential equation for it.

Explanation

To solve the problem of how long it takes for a population to double when it grows at a rate of 8% per year, we can use a differential equation. Here’s a step-by-step solution:

### Step 1: Set up the differential equation
We know that the population grows at a rate of 8% per year. If \( P \) is the population at time \( t \), we can express the growth rate as:

\[ \frac{dP}{dt} = rP \]
...