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    Solve initial-value problem for heat equation and find relaxation time

    Homework Statement Solve the initial-value problem for the heat equation ut = K\nabla2u in the column 0< x < L1, 0< y < L2 with the boundary conditions u(0,y;t)=0, ux(L1,y,t)=0, u(x,0;t)=0, uy(x,L2;t)=0 and the initial condition u(x,y;0)=1. Find the relaxation time. Can anyone please explain...