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Let $u(x,t)$ be solution of initial boundary value problem $$u_{tt}=u_{xx},\quad 00 $$ $$u(x,0)=\cos\left(\frac{\pi x}{2}\right),\quad 0 $$u_{t}(x,0)=0,\quad 0 $$u_{x}(0,t)=0,\quad t\geq0 $$ then

  1. $u(2,2)=?$
  2. $u(1/2,1/2)=?$

I am stuck on this problem . Can anyone help me please........

I can't solve it with separation of variable........ I don't know where to begin?

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    how can we apply d'Alambert's formula, not getting sir..........2012-12-18

4 Answers 4