# Difference between revisions of "Engineering Differential Equations: Theory and Applications, Springer 2010"

This page contains supplementary material for the book, Engineering Differential Equations: Theory and Applications, by Bill Goodwine. 2010, Springer.

# Movies

Chapter 11 considers solutions to partial differential equations.

## The One-Dimensional Wave Equation

Section 11.1 considers the one-dimensional wave equation.

Some movies:

• String of length 3 plucked at L=1 (modeling a guitar):
• String of length 3 that is impacted near L=1 (modeling a piano):

## The One-Dimensional Heat Conduction Equation

Section 11.3 considers the one-dimensional heat conduction equation.

Some movies:

Movie:

## Vibrating Membranes

Partial differential equations describing vibrating membranes in rectangular and polar coordinates are considered in Section 11.5.

Section 11.5.1 presents the two-dimensional wave equation in rectangular coordinates.

Some movies:

Sections 11.5.2-11.5.4 presents the wave equation in polar coordinates. The prototypical example would be a vibrating drum head.

Some movies:

# Errata

## Chapter 6

• p. 220, line -9: the superscript for the second term in the equation should be m-3.
• p. 244, line -11: the first component of the vector on the far right should contain t, not tau.
• p. 245, line 8: the matrix A7 does not have a set of n linearly-independent eigenvectors.
• p. 247, line -7: A3 should be A2