(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve Laplace's equation [tex] \nabla^2 u(r,\vartheta) =0[/tex] in an annulus with inner radius [tex] r_1 [/tex] and outer radius [tex] r_2 [/tex]. (a) For boundary conditions take [tex] u(1,\vartheta) = 3 [/tex] and [tex] u(2,\vartheta) = 5[/tex]. (b) What is the solution using this second set of boundary conditions [tex] u(1,\vartheta) = cos(\vartheta) [/tex] and [tex] u(2, \vartheta) = sin(\vartheta) [/tex]?

2. Relevant equations

3. The attempt at a solution

I's assuming I'm going to get Bessel functions out of this but I don't know what the exact solution is and I'm having an even harder time applying the boundary conditions.

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# Homework Help: Solving Laplace's equation in an annulus

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