Consider u t = k 2u x2 , subject to u(0, t)=0, u(L, t) = 0, and u(x, 0) = f(x). *(a)

Chapter 2, Problem 2.3.4

(choose chapter or problem)

Consider u t = k 2u x2 , subject to u(0, t)=0, u(L, t) = 0, and u(x, 0) = f(x). *(a) What is the total heat energy in the rod as a function of time? (b) What is the flow of heat energy out of the rod at x = 0? at x = L? *(c) What relationship should exist between parts (a) and (b)?

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