Math 3326 Quiz #12

SPRINGSEMESTER2009

Name~NS

1. Solve the Dirichlet problem

v2u =0 for 0 ::;r<p, - 7r::;() ::;7r

u(p, ()) =sin2 () (-7r ::;() ::;7r).

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.4itl9=/fA(f.e)= ~0+-S:!p>1f1\~YI eb., l~ 'VIIJ

;}- h~1

~f, ~~ .

q,,= ~5i4t1'"e Wh eJ8-4b..=-'-;j,4W.'"O<wrihBtl&

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bn-;-0 I fn' 11= '/2.,. ,

~.uvvJ ~=~S11 ~tedfJ:;. t-('(I-~2~~= ~21f}(t):./

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~Ul/ SCo;>.D~h(}rJ.e =[0 YI:P-~) ~~~

1 ~ ~~2

[0'"'n+2... .,.. I1.: '. .

qn-::. ,"~tt:I &~h\/ -tM ~CNU. M

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