Question: Substituting u(r) with r as in Prob. 9 into u xx + u yy + u zz = 0, verify that u + 2u'/r =

Substituting u(r) with r as in Prob. 9 into uxx + uyy + uzz = 0, verify that u" + 2u'/r = 0, in agreement with (7).

Data from Prob. 9

Show that the only solution of Laplace’s equation depending only on r = √x2 + y2 + z2 is u = c/r + k with constant c and k.

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