Two solid copper rods, having identical diameters D=0.01 m. are fused together by applying a heat source that maintains the junction at a constant temperature of Th=650 C. Both rods are infinitely long. Cooling air at To=25 C flows over the rods so that the heat transfer coefficient h=10 W/m K. The thermal conductivity of copper is assumed constant at 380 W/m-K. Assume steady state. a) Let us first consider the rod along the positive x-direction [x-co]. Write down (do not derive) the differential equation and boundary conditions that describe heat transfer in the rod. | b) Write down the general solution to the differential equation. The solution should contain two constants C and C2. Use the boundary conditions to determine the constants. Hint: use the solution in terms of two exponentials. -Copper D-1cm Air Junction 76-650C T-25C h=10W/m2.K c) Find the total rate at which heat is transferred from both rods to the flowing air