Suppose that a laterally insulated rod with length L D 50
Chapter , Problem 18(choose chapter or problem)
Suppose that a laterally insulated rod with length L D 50 and thermal diffusivity k D 1 has initial temperature u.x; 0/ D 0 and endpoint temperatures u.0; t / D 0, u.50; t / D 100. Apply the result of to show that u.x; t / D 2x 200 X1 nD1 .1/nC1 n exp n22kt=2500 sin nx 50 : 19. Su
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