Separation of variables

Submitted by vic777 on Sun, 10/28/2007 - 20:29.

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