Consider a long bar of rectangular cross section and of dimensions a and b in the, and directions, respectively. the thermal conductivity of the material of the bar is direction dependent such that the thermal conductivity in the x direction, k_x, is two times greater than the thermal conductivity in the v direction, k_y. the surfaces at x = 0, x = a and y = 0 are all maintained at a constant temperature t_1, while the surface at y = b is kept at constant t. there are no heat sources or sinks in the bar. give the formulation of the problem for the steady state temperature distribution t(x, y)