The two faces of the slab 0...

 

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The two faces of the slab 0 <x < L are kept at temperature zero, and the initial temperature of the slab is given by u(x, 0) = A (a constant) for 0 < x< L/2, u(x, 0) = 0 for L/2 < x< L. Derive the formal series solution и (х, t) — 4A sin (nA/4) exp (-n'n*kt/L²) sin n=1 The two faces of the slab 0 <x < L are kept at temperature zero, and the initial temperature of the slab is given by u(x, 0) = A (a constant) for 0 < x< L/2, u(x, 0) = 0 for L/2 < x< L. Derive the formal series solution и (х, t) — 4A sin (nA/4) exp (-n'n*kt/L²) sin n=1