# Heat Conduction with Insulated Ends

## Homework Statement

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.

## Homework Equations

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.

Mapes
$$\frac{d^2T}{dx^2}=0$$