Question: Solve the Neumann Problem ^ 2 u ( x , y ) = 0 for x ^2 + y^2 < 1 Un = xy^2 if

Solve the Neumann Problem

^ 2 u ( x , y ) = 0 for x ^2 + y^2 < 1

Un = xy^2 if x^2 + y^2 = 1

aVerify that your solution is in fact satisfies the given problem .

You May Need the Identities :

COs3z = 4c0332-3cOsz

sin3z = 3 sinz - 4sinz

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