MATH 305 Lecture Notes - Lecture 1: Perturbation Theory, Control Engineering, Fluid Mechanics
Document Summary
A differential equation is an equation that relates a function to its derivatives, and a high-order differential equation is a differential equation that contains higher-order derivatives of the unknown function. The order of a differential equation is the highest order of derivative that appears in the equation. Differential equations are an important mathematical tool for describing relationships between variables that change over time or space. A differential equation is a mathematical expression that relates a function to its derivatives. For example, the equation dy/dx = 2x represents the derivative of y with respect to x, which is equal to 2 times x. A high-order differential equation contains derivatives of higher order than first order. For example, the equation d y/dx + 3 dy/dx. + 2y = 0 is a second-order differential equation because it contains a second derivative of y.
