In this tutorial we shall evaluate the simple differential equation of the form , and we shall use the method of separating the variables.
The differential equation of the form is given as
Separating the variables, the given differential equation can be written as
With the separating the variable technique we must keep the terms and in the numerators with their respective functions.
Now integrating both sides of the equation (i), we have
Using the formula of integration , we get
Cancelling the logarithm from both sides of the above equation, we get
This is the required solution of the given differential equation.