Assume flux of saline at the boundary is zer, that is, assume-0 at the boundary. Thus the initial and boundary condition

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Assume Flux Of Saline At The Boundary Is Zer That Is Assume 0 At The Boundary Thus The Initial And Boundary Condition 1 (44.64 KiB) Viewed 42 times

Assume flux of saline at the boundary is zer, that is, assume-0 at the boundary. Thus the initial and boundary conditions in this situation are die du (0,r) (1.) -0, t>0 əx (,0) = 2, D<x< 1 Use seperation of variables to look for solutions of the form (z) w ((). Use the diffusion constant 2 only in finding w ((). Determine a basis of normalized functions amolitude 1) that soars the space of possible solutions (₁) ₂ (2) ₂ (1). we (x, 1) = x (x) we (8) = 2-11in11axa(n^2+1)/n * 21-11-² (?) FORMLIA KRITHELP Submit (2.0) (2), 1(b) O paint and Find the Fourer series for Enter the first 4 nanzera tarms in the series. (2.0)= 1/2 FORMLLA INPUTHELL Submit 0 << 1 Submit X 1(c) point possib taas Find the solution (x, t) as a irear combination of ₂ (, t). in the answer bax, type in the first three nonzero terms in the series expression. @fe,t)= (7) FORMLLA NUIT HELP Submit 1(0) Opel (grade What is the steady state solution (2)? (The solution defined by (a,t), (2) ast 0 X 0 0 (7) FERVLLA KPJ HELP Submit 1(e) on point graded Estimate to 2 significant figures, the time it takes to be within 1% of the steady solution. You can use a computer for an accurate answer, but may also do a rough estimate by hard fand calculaton T = P² FORMLLA KPITHELP