## Physical Motivation and Methods of Solution of Classical Partial Differential Equations

Description:
We consider three classical equations that are important examples of parabolic, elliptic, and hyperbolic partial differential equations, namely, the heat equation, the Laplace's equation, and the wave equation. We derive them from physical principles, explore methods of finding solutions, and make observations about their applications.

Date:
August 1995

Creator:
Thompson, Jeremy R. (Jeremy Ray)