Question

Based on the differential equation illustrated with \[\left(\frac{d^{3}y}{dx^{3}}\right)^{2} + 5\frac{dy}{dx} = \sin(x)\], what is the order?

Options

• Order = 3

• Order = 1

• Order = 5

• Order = 2

Answer 1

The order is determined by the highest order derivative in the equation. The highest order derivative present is \[\frac{d^{3}y}{dx^{3}}\] (third-order derivative), even though it is raised to the power of 2. Therefore, the order is 3.