Question: Consider the steady state temperature problem over the disk of radius 6 centered at the origin: 2u(r, ) = 0 subject to the following boundary
Consider the steady state temperature problem over the disk of radius 6 centered at the origin: 2u(r, ) = 0 subject to the following boundary condition: u(6, ) = f () = 4 sin3() + 4 sin2() (a) Find u(r, ). Please go straight to the final formula for u(r, ). Do not show separation of variables. You need to write all details of integration for credit. (b) Approximate numerically the temperature u at location 3, 4
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