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

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*[[p. 245, line 8]]: the matrix A<sub>7</sub> does not have a set of n linearly-independent eigenvectors.
 
*[[p. 245, line 8]]: the matrix A<sub>7</sub> does not have a set of n linearly-independent eigenvectors.
 
*[[p. 247, line -7]]: A<sub>3</sub> should be A<sub>2</sub>.
 
*[[p. 247, line -7]]: A<sub>3</sub> should be A<sub>2</sub>.
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 +
==Chapter 8==
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*p. 326, line -10:"Figure 8.8" should be "Figure 8.37".
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*p. 327: the pendulum in Figure 8.36 should indicate a length, ''l'', for the pendulum.
  
 
==Chapter 9==
 
==Chapter 9==

Revision as of 17:39, 28 March 2011

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:

The One-Dimensional Heat Conduction Equation

Section 11.3 considers the one-dimensional heat conduction equation.

Some movies:

The Two-Dimensional Heat Equation

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.

Chapter 8

  • p. 326, line -10:"Figure 8.8" should be "Figure 8.37".
  • p. 327: the pendulum in Figure 8.36 should indicate a length, l, for the pendulum.

Chapter 9

Chapter 11