Partial Differential Equations
6 D’Alembert’s solution to the wave equation
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Notes
1
Introduction
2
Classification of partial differential equations.
3
Boundary and Initial Conditions
4
Fourier Series
5
Separation of variables on rectangular domains
6
D’Alembert’s solution to the wave equation
7
Polar and spherical coordinate systems
8
Separation of variables in polar coordinates
9
Series solutions of O.D.E.
10
Bessel functions
11
Separation of variables in three dimensions
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Chapter 6
D’Alembert’s solution to the wave equation
6.1
Background
6.2
New variables
6.2.1
Infinite String
6.2.2
Finite String
6.3
Examples
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