Please solve using MATLAB

Problem 1.6 Consider the steady-state temperature distribution for a long rod positioned be- tween two constant-temperature walls. Assume temperature is a function exclusively of the axial coordinate z and heat is transferred along the rod's longitudinal aris by conduction and between the rod and the surrounding gas by convection. For this erample, radiation is assumed to be negligible. The temperature distribution can be described by the equation: where T is the temperature, a is the position along the rod, h' is a bulk heat-transfer parameter reflecting the relative impacts of convection and conduction and To is the temperature of the surrounding gas 1.) Converted the differential equation into an algebraic equation and collect the like terms. Report the algebraic equation. 2.) For a rod that is 10 m, split into 20 sections with 21 nodes, write a script that uses the Fi- nite Difference Method to determine the temperature distribution along the rod as a function of . Use the boundary conditions T(0)=400 K and T(10-600 K as well as the values h'=0.075 m-2 and T00-200 K. 3. Provide the plot to the temperature as a function of x. Problem 1.6 Consider the steady-state temperature distribution for a long rod positioned be- tween two constant-temperature walls. Assume temperature is a function exclusively of the axial coordinate z and heat is transferred along the rod's longitudinal aris by conduction and between the rod and the surrounding gas by convection. For this erample, radiation is assumed to be negligible. The temperature distribution can be described by the equation: where T is the temperature, a is the position along the rod, h' is a bulk heat-transfer parameter reflecting the relative impacts of convection and conduction and To is the temperature of the surrounding gas 1.) Converted the differential equation into an algebraic equation and collect the like terms. Report the algebraic equation. 2.) For a rod that is 10 m, split into 20 sections with 21 nodes, write a script that uses the Fi- nite Difference Method to determine the temperature distribution along the rod as a function of . Use the boundary conditions T(0)=400 K and T(10-600 K as well as the values h'=0.075 m-2 and T00-200 K. 3. Provide the plot to the temperature as a function of x