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7.38, §4 Solve

Expand all variables in the problem for u in a Fourier series:

Put into P.D.E. :

Solve:

and the same for C^s_n and C₀.

'Boundary condition' at r=0: B₀=B^c_n=B^s_n=0 for all n.

Boundary condition at r=1: u_r = f

We need f₀=0 for a solution to exist!

Further:

Next: 7.38, §5 Total Up: 7.38 Previous: 7.38, §3 Eigenfunctions