Consider the equilibrium temperature distribution for a uniform one-dimensional rod with sources Q/K0 = x of thermal energy, subject to the boundary conditions u(0) = 0 and u(L) = 0.
*(a) Determine the heat energy generated per unit time inside the entire rod.
(b) Determine the heat energy flowing out of the rod per unit time at x = 0 and at x = L.
(c) What relationships should exist between the answers in parts (a) and (b)?
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