Q$3)$ A string of length $2,$ be strectched tightly and its ends fastened to supports at $x=0$ and $x=2.$ The string is released from its horizontal position $($zero initial displacement$),$ but with an initial velocity given at x by $g(x).$ The boundary value problem for the displacement function is

$y(x,t)y(x,t)t=0,0\mathrm{.}2,0\mathrm{.}4,0\mathrm{.}7,1\mathrm{.}2$

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