Learn how to solve problems step by step online. Solve the differential equation y^'+y/x-3x=0. Rewrite the differential equation using Leibniz notation. Group the terms of the equation. We can identify that the differential equation has the form: \frac{dy}{dx} + P(x)\cdot y(x) = Q(x), so we can classify it as a linear first order differential equation, where P(x)=\frac{1}{x} and Q(x)=3x. In order to solve the differential equation, the first step is to find the integrating factor \mu(x). To find \mu(x), we first need to calculate \int P(x)dx.

Solve the differential equation y^'+y/x-3x=0