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1. Heat is flowing steadily in a metal plate whose shape is an infinite rectangle occupying the a0 of the (x,y) plane. The temperature at the point (x,y) is denoted by u(x,y). The sides x=a are insulated, the temperature approaches zero as y, while the side y=0 is maintained at a fixed temperature T for a0 of the (x,y) plane. The temperature at the point (x,y) is denoted by u(x,y). The sides x=a are insulated, the temperature approaches zero as y, while the side y=0 is maintained at a fixed temperature T for a