The two faces of the slab 0 5 x 5 L are kept at

Chapter , Problem 15

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The two faces of the slab 0 5 x 5 L are kept at temperature zero, and the initial temperature of the slab is given by u.x; 0/ D A (a constant) for 0 < x < L=2, u.x; 0/ D 0 for L=2 < x < L. Derive the formal series solution u.x; t / D 4A X1 nD1 sin2.n=4/ n exp n22kt=L2 sin nx L : 16. Tw

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