Question

For the differential equation \[xy \frac{d^{2}y}{dx^{2}} + x \left( \frac{dy}{dx} \right)^{2} - y \frac{dy}{dx} = 0\], what is the order?

Options

• Order = 2

• Order = 3

• Order = 1

• Order = 4

Answer 1

The order is determined by the highest order derivative in the equation. In this equation, the highest order derivative is \[\frac{d^{2}y}{dx^{2}}\], which is a second-order derivative. Therefore, the order is 2.