Final answer:
A differential equation is an equation that relates functions and their derivatives. In this specific equation, we have a numerical method for solving a differential equation.
Step-by-step explanation:
A differential equation is an equation that relates functions and their derivatives. It is used in various engineering applications where changing quantities modeled by functions and their rates of change are known. In this specific equation, we have a numerical method for solving a differential equation. The equation is represented by the formula f(x) = f(x₀)(x-x₁)/(x₀ - x₁) + f(x₁)(x-x₀)/(x₁-x₀) + f"xi/(2)(x-x₀)(x-x₁), where f(x) represents a function, x₀ and x₁ are two points, and f"xi is the second derivative of f at some value xi.