Solve the boundary value problem (BVP) modeling the heat flow in a well-conducting metal rod of length 3 in the presence of a constant heat source of density 2 in the stationary state if both ends of the rod are in contact with ice, which keeps the temperature of the two ends at zero. Choose natural units, so that the heat equation is u'' = 2 After solving the problem analytically also solve it numerically with finite differences and with step size h = 1. Calculate the error at the mesh points x = 1 and x = 2.