Let u.x; y/ denote the bounded steady-state temperature in

Chapter , Problem 7

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Let u.x; y/ denote the bounded steady-state temperature in an infinitely high wall with base y D 0 and faces x D 0 and x D 1. The face x D 0 is insulated, the base y D 0 is kept at temperature 100C, and heat transfer with h D 1 takes place at the face x D 1. Derive the solution u.x; y/ D 200 X1 nD1 exp .ny/sin n cos nx n C sin n cos n

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