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