Order and Degree of a Differential Equation An order of a differential equation refers to the highest power of the derivative or higher order derivative...
Order and Degree of a Differential Equation
An order of a differential equation refers to the highest power of the derivative or higher order derivative present in the equation. For example, consider the differential equation
The highest power of the derivative is 1, so the order of this differential equation is 1.
The degree of a differential equation refers to the order of the highest derivative present in the equation. In our example, the degree of the equation is 1, meaning that the highest derivative is the first derivative.
Examples:
The order of this equation is 1.
The order of this equation is 2.
The order of this equation is 3