I'm taking an engineering heat transfer course as an elective. 1. The problem statement, all variables and given/known data Copper tubing is joined to a solar collector plate of thickness t, and the working fluid maintains the temperature of the plate above the tubes at To. There is a uniform net radiation heat flux q”rad to the top surface of the plate, while the bottom surface is well insulated. The top surface is also exposed to a fluid at T∞ that provides for a uniform convection coefficient h. (a) Derive the differential equation that governs the temperature distribution T(x) in the plate. (b) Obtain a solution to the differential equation for appropriate boundary conditions. 2. Relevant equations Conduction, convection, and radiation 3. The attempt at a solution I want to first analyze a differential control volume. Ac = yt As = ydx qcond + qrad = qconv + qcond, x + dr -kAcdT/dx + εσ[T4(x) - T4∞] ydx = h[T(x) - T∞] ydx + -kAcdT/dx -kd/dx(AcdT/dx) Of course, t is constant and we're assuming that temperature does not vary with the y-coordinate. However, I wanted to start with an actual volume and see where y factors out. Am I on the right track?