Separation of variables

What would be a solution for this eqn.?
$ u_t_t-4u_t_t=xt, 0<x<1, t>0,</p>
<p>u(x,0)=x, u_t(x,0)=0, 0\lex\le1,</p>
<p>u(0,t)=0, u_x(1,t)=1+t, t\ge0   $

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