Insulated Δε h. Tm 345 Consider a large uranium plate of thickness 10 cm and thermal conductivity k = 35 W/m-°C in which heat is generated uniformly at a constant rate of é = 7 x 105 W/m³. One side of the plate is insulated while the other side is subjected to convection to an environment at 40°C with a heat transfer coefficient of h = 90 W/m²°C. Consider six equally spaced nodes with a nodal spacing of 2 cm. The governing equation is d²T é 1. (5 points) Write the finite difference form of this equation. 2. (5 points) Use the energy balance method to determine the finite difference equations at the boundary nodes. 3. (5 points) Create a system of linear equations using the finite difference equations in matrix form. 4. (5 points) Write a MATLAB code to solve this system of linear equations. 5. (5 points) Plot your temperature profile as a function of position (x).