Wave Equation : D'Alembert's Solution
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Given that the general solution to the wave equation in one space dimension
is given by
where f, g are arbitrary twice continuously differentiable functions deduce that the solution s satisfying the initial conditions
and
for some function v, is
(this is a special case of the so called D'Alembert's solution of the wave equation).
Please see the attached file for the fully formatted problem.
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Solution Summary
A solution to a wave equation is investigated and the details are presented.
Solution Preview
Take the partial derivative of this equation with respect to x holding t constant
The integral is (1/2c) [F(x+ct) -F(x-ct)] = ...
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