Aplate is positioned in the xy plane which has an infinite length in the x-direction. the y=0 and y = ledges are held at t =0 k with the x = 0 edge held at 1000 k. a) make a labelled sketch of the problem. b) state or derive all general solutions of laplace's equation for this set-up. c) define boundary conditions for all 4 edges including a formula for t(0,y) and hence [4] explain which boundary conditions rule out which general solutions. d) express the remaining solution as a series and find the necessary coefficients of this [4] series. e) write out the solution to this problem.