At a given instant of time the temperature distribution within an infinite homogeneous body is given by the function T(x, y, z) x 2 2y 2 z 2 xy 2yz Assuming constant properties and no internal heat generation, determine the regions where the temperature changes with time

Question: At a given instant of time the temperature distribution within an infinite homogeneous body is given by the function T(x, y, z) = x 2

At a given instant of time the temperature distribution within an infinite homogeneous body is given by the function T(x, y, z) = x² – 2y² + z² – xy + 2yz Assuming constant properties and no internal heat generation, determine the regions where the temperature changes with time.

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