Vibrating Drumhead

Vibrating Drumhead

                        Copyright 1994
                       H. Edward Donley
                    Mathematics Department
                   Indiana University of PA
                    Indiana, PA  15705 USA
                    hedonley@grove.iup.edu
         Can be modified and used for non-commercial use.


This is an evaluated Mathematica notebook. Since the notebook is intended to be interactive, it may be helpful to also view the unevaluated version.

The Wave Equation

Conversion to Polar Coordinates

Separation of Variables

Solution of the Ordinary Differential Equations

   

The Differential Equation in r

   

The Differential Equation in t

Constructing a Series Solution

Exercises

Go up to Calculus and Differential Equations Project Description