HELP!!: Laplace 2D equation on a square

[sarahisme]

Hi everyone,

I quite get the answer out for this question and i just feel like i have been beating my head into a wall for 4 hours! aghh....



I get stuck when i try to solve the sub-problem which has boundary conditions:



I do the usual thing of seperating varibales on which leads to the equations:



so i solved these equations and applyed the boundary conditions:

X'(0) = 0, X'(1) = 0, Y(1) = 0

this gives the equation

but then if i sub in the non-homogenous BC,

i get 0 = x

lol, what have i done this time! :P

any help would be so very much appreciated!

Cheers
Sarah

[Mattywoo2]

Ah everytime you post something you're about a week ahead of my course. I see you write something thinking I've never heard of it and then the following week it pops up in my Techniques module.

Anyway, just a quick observation, did you mean sinh(n.pi.y) in the summation or did you mean sin(n.pi.y) ??

Probably makes very little difference, but at least this resembles the double angle formula for sine now.