(a) find the solution u(x, y)of laplace’s equation in the rectangle 0 (b) find the solution if g(x)=x,0≤x≤a/2,a−x, a/2≤x≤a.
(c) fora=3 and b=1, plot u versus x for several values of y and also plot u versus y for several values of x.
(d) plot u versus both x and y in three dimensions. also draw a contour plot showing several level curves of u(x, y)in the xy-plane.