Let the ends of a copper rod 100 cm long be maintained at 0 degrees C. Suppose that the center of the bar is heated to 100 degrees C by an external heat source and that this situation is maintained until a steady state results. Find this steady-state temperature distribution.
I think this involves the Fourier Series but i'm not sure.
The Attempt at a Solution
I'm not sure how to start it. I haven't seen a problem like this where it is heated from the middle.