Finite string Partial differential equation prob

Consider the following finite string problem

$\displaystyle \mu_{tt} = \mu_{xx}$ where $\displaystyle 0\le x\le 6$

$\displaystyle \mu(x,0) = f(x)$ and $\displaystyle \mu_t(6,t) = 0$ for $\displaystyle t\ge 6$ with $\displaystyle \mu(x,0) = f(x)$, and $\displaystyle \mu_t(x,0) = 0$

where

$\displaystyle f(x) = 1 - |x - 3|$, if $\displaystyle |x - 3|\le 1$ and is 0 otherwise.(sorry i dont know how to enter this as a array)

give the equation of the solution for t = 2