Solve the Differential Equation dy/dx=xy^2
In this tutorial we shall evaluate the simple differential equation of the form by using 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
In the separating the variables 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 formulas of integration , we get
This is the required solution of the given differential equation.