Question

Why is the equation \[x\frac{dy}{dx} + y = 0\] classified as a differential equation?

Options

• Because it contains two independent variables

• Because it is an equation involving only constants

• Because it lacks a dependent variable

• Because it contains the derivative \[\frac{dy}{dx}\]

Answer 1

The equation \[x\frac{dy}{dx} + y = 0\] is classified as a differential equation specifically because it contains a derivative, namely \[\frac{dy}{dx}\].