. a 2. (50 Points) Consider a rod between two walls, which are at different temperatures. The rod is cooled by air blowing between the two walls. One wall is at . We will say that this wall is at . The rod is 1 m long. The temperature in the rod is given by the differential equation Here, and . Since this is a second-order ODE, we need two boundary conditions. One boundary condition is that. We also need a boundary condition for Let's say that Physically, this represents the heat flux at . Note that units here have all been resolved. Leave all numbers in their given units. Use ode45 for this problem. a) (35 points) Determine . b) (15 points) Instead of knowing that at , we know at . Generate a plot of vs . Hint: you'll need to guess or solve for at . > . a 2. (50 Points) Consider a rod between two walls, which are at different temperatures. The rod is cooled by air blowing between the two walls. One wall is at . We will say that this wall is at . The rod is 1 m long. The temperature in the rod is given by the differential equation Here, and . Since this is a second-order ODE, we need two boundary conditions. One boundary condition is that. We also need a boundary condition for Let's say that Physically, this represents the heat flux at . Note that units here have all been resolved. Leave all numbers in their given units. Use ode45 for this problem. a) (35 points) Determine . b) (15 points) Instead of knowing that at , we know at . Generate a plot of vs . Hint: you'll need to guess or solve for at . >