Two one-dimensional rods of different materials joined at x = x0 are said to be in

Chapter 1, Problem 1.3.2

(choose chapter or problem)

Two one-dimensional rods of different materials joined at x = x0 are said to be in perfect thermal contact if the temperature is continuous at x = x0: u(x0, t) = u(x0+, t) and no heat energy is lost at x = x0 (i.e., the heat energy flowing out of one flows into the other). What mathematical equation represents the latter condition at x = x0? Under what special condition is u/x continuous at x = x0?

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