Theory and ExamplesThe one-dimensional heat equation If
Chapter 14, Problem 23AAE(choose chapter or problem)
Problem 23AAE
Theory and Examples
The one-dimensional heat equation If w(x, t) represents the temperature at position x at time t in a uniform wire with perfectly insulated sides, then the partial derivatives wxx and wtsatisfy a differential equation of the form
This equation is called the one-dimensional heat equation. The value of the positive constant c2 is determined by the material from which the wire is made.
Find all solutions of the one-dimensional heat equation of the form where r is a constant.
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