## Step-by-step explanation

Problem to solve:

Learn how to solve differential equations problems step by step online.

$\frac{dy}{dx}+\frac{-y}{x}=\frac{x}{3y}$

Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx-y/x=x/(3y). Multiplying the fraction by -1. We identify that the differential equation \frac{dy}{dx}+\frac{-y}{x}=\frac{x}{3y} is a Bernoulli differential equation since it's of the form \frac{dy}{dx}+P(x)y=Q(x)y^n, where n is any real number different from 0 and 1. To solve this equation, we can apply the following substitution. Let's define a new variable u and set it equal to. Plug in the value of n, which equals -1. Simplify.