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PRINCIPLE OF SUPERPOSITION
If Ф1; Ф2,…, Ф„ are solutions of the Laplace equation (Eq. (3.1)), which is linear, then
(З. Щ
k=1
is also a solution for that equation in that region. Here cb c2, . . . , c„ are arbitrary constants and therefore
VM> = І ck У2Ф* = О
*=i
This is a very important property of the Laplace equation, since after obtaining some of the elementary solutions, satisfying a set of given boundary conditions can be reduced to an algebraic search for the right linear combination of these solutions (to satisfy the boundary conditions).
