# Heated rod problem

## Homework Statement

I was asked to write the equation that describes the following heated rod: Two rods of different materials that have been fused together on the x-axis at x=0 to form one rod of infinite length.

I was thinking of just using the heat equation integrated from -infinity to 0 with k1 and 0 to +infinity with k2 and having the solution as the sum of these two integrals.

I am really quite unsure of how to go about solving this so any help would be much appreciated.

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