Develop the analytical solution to the problem for project 1 by solving the equation. Non- dimensionalize the temperature first as we did in class. With boundary conditions: dT dx 2 --m (T-T) = 0 b. C. a. Undergraduate Students: Develop the analytical solution for the Dirichlet boundary condition given above. T(0) = TB dT dx |x=L b. C. Graduate Students: Develop the analytical solution for the Robin boundary condition given below. Put your answer in the form: 2. Discretize the boundary conditions. a. Undergraduate Students: Develop the finite volume expression for the left boundary cell using the Dirichlet boundary condition given above. = 0 -k Graduate Students Develop the finite volume equation for the left boundary cell for the convective boundary condition, assuming that the left boundary is exposed a temperature of T0 with a convection coefficient, ho. Use the forward difference to approximate the derivative on the left boundary. The convective boundary condition on the left boundary is written as: dT dx lx=0 0xL =h,0 (0,0 -TB) BT+CT = D And clearly write the coefficients B, C, and D 3. Develop the equation for the interior cells. Put your answer in the form AT+BT, +CT = D 4. Develop the equation for the right boundary using the adiabatic boundary condition. put your answer in the form ANTN-1+BNTN DN =