(a)(b) Using part (a), prove that the solution of Laplaces equation 2u = 0 (with u given

Chapter 2, Problem 2.4.19

(choose chapter or problem)

(a)(b) Using part (a), prove that the solution of Laplaces equation 2u = 0 (with u given on the boundary) is unique. (c) Modify part (b) if u n = 0 on the boundary. (d) Modify part (b) if u n + hu = 0 on the boundary. Show that Newtons law of cooling corresponds to h > 0.

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