In this tutorial we shall solve a differential equation of the form by using the separating the variables method.
The differential equation of the form is given as
This differential equation can also be written as
Separating the variables, the given differential equation can be written as
Keep in mind that in the separating variable technique the terms and are placed in the numerator with their respective variables.
Now integrating both sides of the equation (i), we have
Using the formulas of integration and , we get
This is the required solution of the given differential equation.