Canonical Linear PDEs- Wave Equation, Heat Equation, and Laplace's Equation

Explore the fundamental concepts of canonical linear partial differential equations in this 50-minute lecture from the Engineering Mathematics course at the University of Washington. Delve into the wave equation, heat equation, and Laplace's equation, examining their properties, linearity, and applications. Gain insights into parabolic PDEs, linear operators, and nonlinear functions. Access accompanying lecture notes and course materials to enhance your understanding of these essential mathematical concepts in engineering.

Introduction
Outline
Definition
Heat equation
Partial differential equation
Example
Canonical PDEs
Wave equation
parabolic PDE
properties
linearity
linear operators
nonlinear functions