# Solve the Differential Equation dy/dx=xy^2

In this tutorial we shall evaluate the simple differential equation of the form , by using method of separating the variables.

Given differential equation of the form

Separating the variables, the given differential equation can be written as

By separating the variable technique we must keep the terms and in the numerators with their respective functions.

Now integration both sides of the equation (i), we have

Using the formulas of integration , we get

Which is the required solution of the given differential equation.