[91 中山光電]
題目 : Find the function f(x,y) satisfying the Laplace equation
d^2 f d^2 f
------- + ------- = 0 , for x^2 + y^2 = a , a > 0
d^2 x d^2 y
and the boundary condition f(x,y) = x^3 for x^2 + y^2 = a
3 1
答案 : f = --- a r cosθ + --- r^3 cosθ
4 4
不知道該如何把邊界條件換成柱座標，麻煩板上高手幫忙指導一下，謝謝
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