I would be very grateful if someone could explain how you go out finding the form of the solution to this problem?

http://img691.imageshack.us/img691/5733/17042500.png

Printable View

- Mar 28th 2011, 08:48 AMLHSLaplaces Equation using polar coordinates
I would be very grateful if someone could explain how you go out finding the form of the solution to this problem?

http://img691.imageshack.us/img691/5733/17042500.png - Mar 28th 2011, 09:19 AMTheEmptySet
- Mar 28th 2011, 09:27 AMLHS
So by expressing cos^2(theta) as 1/2+1/2 cos(2*theta) I can equate with the general solution to laplace in polars? which is

T(x,y)=A[0]+B[0]log(r)+ (the infinite summation from n=1 of) (A[n]r^n+B[n]r^-n)(C[n]cos(n theta)+D[n]sin(n theta))? - Mar 28th 2011, 09:45 AMTheEmptySet
- Mar 28th 2011, 09:58 AMLHS
Ah thanks, yes that's much clearer now! :)