Question: 1. Solve the Dirichlet problem: uxx + uyy = 0, 0 < a2 < x2 + y 2 < b2 , u = (), x2

1. Solve the Dirichlet problem: uxx + uyy = 0, 0 < a2 < x2 + y 2 < b2 , u = (), x2 + y 2 = a 2 , u = (), x2 + y 2 = b 2 ( is the polar angle).

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