The temperature on three sides of a square plate of area L^2 is held constant at T, while the temperature on the fourth side of the plate is held constant at Ti. Find the steady-state temperature T(x, y) in the plate. Note that this problem is governed by the two-dimensional Laplace equation in rectangular coordinates: ∂^2T/∂x^2 + ∂^2T/∂y^2. Use separation of variables to solve this problem as was done for the unsteady problem solved in class. Can you sketch, or better yet make, a graph showing the lines of equal temperature (isotherms) and energy flow lines within the plate?