Consider the heat conduction problem with a constant heat generation Q and fixed temperatures at both ends. The governing equation is dx2d2u=Q,x(0,1) u(x=0)= and u(x=1)= a. Write a code in Matlab to solve the problem. Your code should contain as much explanation as possible to follow easily. b. Plot temperature versus position for different values of boundary conditions and heat generation. Comment on the result. c. Let Q be equal to 50u. Show your matrices as in the class and solve the problem numerically. d. Check convergence using pseudospectrum. e. Find the temperature at x=0.75