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.

Answer

`T_((x))=T_(1)((T_(2))/(T_(1)))^(x//1);H=(alpha)/l "In"((T_(2))/(T_(1)))`