Derive an expression for the temperature distribution in a plane wall in which there are uniformly distributed

Question:

Derive an expression for the temperature distribution in a plane wall in which there are uniformly distributed heat sources which vary according to the linear relationqG = qw [1 ?? β(T ?? Tw)]where qw is a constant equal to the heat generation per unit volume at the wall temperature Tw. Both sides of the plate are maintained at Tw and the plate thickness is 2L.GIVENA plane wall with uniformly distributed heat sources as in the above equationBoth surface temperatures = TwThickness = 2LASSUMPTIONSConstant thermal conductivity(k)

Distribution
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