Question

Problem 6a

Answer 1

Given information

Write the differential equation that expresses the law of natural growth as follows:

 

Here, k is a constant and if k > 0, the above equation is called as the law of natural growth.

Step-by-step explanation

Step 1.

Simplify equation (1) for the value of k as follows:

 

The quantity,   is the growth rate and by dividing it by D, the term   is called the relative growth rate.