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.