Consider the wave equation $\frac{d^2}{dt^2} u(x,t)= \frac{d^2}{dx^2} u(x,t)$ -$a\leq x \leq a$ ,$t \geq 0$ subject to the initial conditions $u_t (x,0)= 0$, $u(x,0)=x$.
Find a solution using the d’Alembert procedure.
Consider the wave equation
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pde
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0Presumably, you have some notes that tell you what the d'Alembert procedure is, and how to use it, so why not tell us what you know about the problem, how you start out, where you get stuck, and so on? – 2012-12-10