# What is a solution to the differential equation #dy/dx=y^2/x^2+y/x+1#?

##### 1 Answer

Jul 11, 2016

#### Explanation:

This is a first order linear **homogeneous** equation. NB here **homogeneous** has its own meaning. it means that the equation can be written in form

so standard approach is to let

so

thus, plugging this into the original.....

standard integral: