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Exercise 32: Write a system of FDEs for a heat flow problem, solve the system, and display the results.

Consider steady heat flow in a square sheet of metal with an L-shaped insulator as depicted in the Figure 7. Let in the metal filled finite difference cells and in the insulated finite difference cell. Using harmonic averages write a system of FDEs for this heat flow problem and then use Gaussian elimination to solve the resulting FDEs. Use PlotMTV or Ximage to display your results.