b) The initial temperature of a metal rod of length Im is given by T(x, 0) = 2 sin(x), 0<x<1 The temperatures of the rod at x = 0 and x = 1 are given by T(0,t) = 0, T(1,t) = 0, t>0 Using a 0.5, Ax = 0.25 and At = 0.02, determine the temperature distribution in the rod at t = 0.04 using the explicit method by numerically solving the parabolic heat conduction equation in (n). T(x,t) c) If the calculations in part (b) were repeated with Ax = 0.1 to reduce the error and At remains as 0.02, what difficulty would be encountered? Do not repeat the finite difference calculations to determine your answer. at -x= 2 Tox,t) 2x²