Question 2. The conservation of heat can be used to develop a heat balance for a long, thin rod. See the figure below If the rod is not insulated along its length and the system is at a steady state, the problem can be modeled by the following reaction diffusion equa tion T +(T.-T) = 0 where is a heat transfer coefficient (m-) that parametrizes the rate of heat dissipation to the surrounding air and T. is the temperature of the surrounding air (C). The boundary conditions are given by T(0) = T(L) = Let the length of the rod be L = 10 m, and let T = 20, T = 10, T3 = 200, a =0.01. The exact solution is given by T= 73.4523 -53.4523-0.12 + 20 Discretize this problem infinite differences. Implement your discreti tion in MATLAB. Run your code for discretination with N=16, 32, 64, 128 partitions. Plot your numerical solution (TV ) for the different value of Non the same axis as the exact solution which is to be plotted with 129 points). Label your exis and include a legend Question 2. The conservation of heat can be used to develop a heat balance for a long, thin rod. See the figure below If the rod is not insulated along its length and the system is at a steady state, the problem can be modeled by the following reaction diffusion equa tion T +(T.-T) = 0 where is a heat transfer coefficient (m-) that parametrizes the rate of heat dissipation to the surrounding air and T. is the temperature of the surrounding air (C). The boundary conditions are given by T(0) = T(L) = Let the length of the rod be L = 10 m, and let T = 20, T = 10, T3 = 200, a =0.01. The exact solution is given by T= 73.4523 -53.4523-0.12 + 20 Discretize this problem infinite differences. Implement your discreti tion in MATLAB. Run your code for discretination with N=16, 32, 64, 128 partitions. Plot your numerical solution (TV ) for the different value of Non the same axis as the exact solution which is to be plotted with 129 points). Label your exis and include a legend