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!