Wave equations

Submitted by vic777 on Sun, 10/07/2007 - 03:24.

Algebra questions

What would be a solution of the initial boundary-value problem?
$\frac{\partial^2u}{\partial t^2}=\frac{\partial^2u}{\partial x^2}$
$0<x<2, t>0$
$u(x,0)=sin(\frac{\pi x}{2}), 0\le x\le2$
$\frac{\partial u}{\partial t}(x,0)=0, 0\le x\le2$
$u(0,t)=0$
$u(2,t)=0, t\ge0$

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Wave equations