Solve this Engineering Mathematics problems with matlab program.

6. A solid cylindrical rod (radius R1 = 5 mm) is encased by a semipenneable outer membrane. A reactant is owing outside the membrane (at 1' > R2 = 6 mm) with constant concentration, resulting in a constant concentration C b = l mol/mm3 at r = R2 (just inside the membrane). The reactant diflses inward and reacts as it moves. Because the reaction is sufciently fast, the concentration of reactant at the surface of the rod (at 'r = R1) is 0 mol/mrn3. At steady-state, a mass balance reveals: O-D 1d( dC) kOC ' r37"? '72 Where 1) = 0.005 mmZ/s is the diffusion coefcient and k0 = 0.5 s/mm2 is a term describing the reaction rate. Use the \"shooting method\" to solve this BVP. Use ODE45 or some equivalent explicit solver. Adjust conditions until the solution \"settles down\" to 3 signicant gures. Show a plot of concentration vs. 7" for the width of the membrane. What is the reactant concentration at the midpoint of the membrane (at r = 5.5 mm)