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Using Laplace Equation PDE 42.(a) Solve for u(r, e): That is, the region is an annulus betweenr 1 andr 2. HINT: First draw a picture of it, to get a look at the problem. Now, you should be able to re...
42.(a) Solve for u(r, θ): u,( 1,0)-0, u(23)-40. That is, the region is an annulus betweenr 1 and r-2 HINT: First draw a picture of it, to get a look at the problem. Now, you should be able to readily get u(r, θ)-(A+B In r) (C+D6) + (Er"+FF") (Geosx8+ Hsinx8). Then, see that you have 2n-periodicity, so K n (n-1,2,..) and D-0, so u ( r, θ)-A" + B. In r + an infinite series with r's and θ's in...