Question: A slab, 0 x L, is initially at uniform temperature To. For times t > 0, the boundary surface at x = 0 is

A slab, 0 x L, is initially at uniform temperature To. For

A slab, 0 x L, is initially at uniform temperature To. For times t > 0, the boundary surface at x = 0 is maintained at constant temperature To, and the boundary surface at x = L is maintained at a prescribed time-dependent temperature T = To cos wt, where w is a positive constant. Obtain an expression for the temperature distribution T(x,t) in the slab using the Laplace transform technique.

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