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PostPosted: Thu May 10, 2018 3:53 pm 

Joined: Wed Nov 15, 2017 12:37 pm
Posts: 17
After separating the variables, I ended up with a general solution of the form:
$$u(r,\theta)=\sum_{n=0}^{\infty} r^n[A_n\cos(n\theta)+B_nsin(n\theta)]$$
How exactly do I use the boundary condition $u(\alpha,\theta)=1+3\sin(\theta)$ to determine the coefficients? (I think I know the answer intuitively, but I would like to see how it can be presented in a more mathematically formal way)


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