Question: Solve the following partial differential equations: 1 du du 0 0 a at 1 0 0 ; u =0 at x = L, for t

Solve the following partial differential equations: 1 du du 0 0 a at 1 0 0 ; u =0 at x = L, for t > 0 ax ac ac - Dac at ax 2 2) C (x,0 ) = f (x) ac (1,t) Subject to: C (0,t ) = 1, =0, where Da >0 is a Damkohler number. Ox ac D ac ac + KC at 2x-2 Ox 3) 0 Subject to C(x,0) = C(0,t) =0; C(1,t) =0; 1 1

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