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Drumskin PDE's

  • Thread starter FunkyDwarf
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Homework Statement


Not sure if you guys can get this link
http://www.maths.uwa.edu.au/devsite/Units/math3341-s1-2008-crawley/assignments-solutions/Sheet%204 [Broken]
should be able to.
Question is quesiton two.


Homework Equations


Not many besides the general seperation of solutions sort of thing but im a bit unsure how to apply that with three variables.


The Attempt at a Solution


In previous examples we had some symmetry that meant we could knock out say the theta dependance on something but im not sure here. I tried letting u = T(t)R(r)K(theta) and just fiddling a bit but came up trumps as i tried to fit the R function to a solution of the bessel function which we expect from whats given. I get the T(t) function as a sin + cos solution with argument lambda*c where -lambda squared is the constant i assign to the two sets of functions in seperation of variables. Thats sort of right i guess, not sure where the plus or minus comes from but then again i don't know how they get omega. I think im on the right track looking for the solution form of u i gave im just not sure how to follow through nor how to link the two constants that arise from applying seperation of variables twice.

Hope that made sense :S
Cheers
-G

EDIT: Nevermind, im retarded and can't read my own notes/do algebra properly. Mods can delete if you want.
 
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