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A rof of length l with thermally insulat...

A rof of length `l` with thermally insulated lateral surface consists of material whose heat conductivity coefficient varies with temperature as `x = alpha//T`, where `alpha` is a constant. The ends of the rod are kept at temperatures `T_1` and `T_2`. Find the function `T (x)`, where `x` is the distance from the end whose temperature is `T_1`, and the heat flow density.

Text Solution

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`T=T_(1)((T_(2))/(T_(1)))^(x//L)`
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