1 Solve analytically d?T 0.01(T-20) = 0 dx2 With the boundary conditions (0) = 40 and T(10) = 200. 2 Solve Prob. 1 with the finite-difference approach using Ax =2. Use centered difference approximations of (ha) to estimate the second derivatives. 3 From Prob. 1 and 2, use the analytical solution to compute true percent relative errors to evaluate the accuracy of the finite-difference methods. Explain your results. 4 Use the finite-difference approach to solve for the temperature of the heated plate in figure below. Write only the equations for the darkened nodes in the case Ax = Ay. at 10 (1,3) (2,3) (1,2) (2,2) 75C (1,1) (2,1) 50C (1,0) (2,0) Insulated 1 Solve analytically d?T 0.01(T-20) = 0 dx2 With the boundary conditions (0) = 40 and T(10) = 200. 2 Solve Prob. 1 with the finite-difference approach using Ax =2. Use centered difference approximations of (ha) to estimate the second derivatives. 3 From Prob. 1 and 2, use the analytical solution to compute true percent relative errors to evaluate the accuracy of the finite-difference methods. Explain your results. 4 Use the finite-difference approach to solve for the temperature of the heated plate in figure below. Write only the equations for the darkened nodes in the case Ax = Ay. at 10 (1,3) (2,3) (1,2) (2,2) 75C (1,1) (2,1) 50C (1,0) (2,0) Insulated