Problem 5

Given information

A separable equation is a first-order differential equation in which the expression for  can be factored as a function of x times a function of y.

In other words, it can be written in the following form:

Step-by-step explanation

The equation is named as separable because the expression on the right side of the equation can be “separated” into a function of x and a function of y.

Equivalently, if    it could be written as follows:

Here,