Section 14.3 Partial Derivatives
Ex: 77
Verify that the function
\[u = \frac{1}{\sqrt{x^2 + y^2 +
z^2}}\]
is a solution of the three-dimensional Laplace equation
\[u_{xx} + u_{yy} + u_{zz} = 0.\]
Verify that the function
\[u = \frac{1}{\sqrt{x^2 + y^2 +
z^2}}\]
is a solution of the three-dimensional Laplace equation
\[u_{xx} + u_{yy} + u_{zz} = 0.\]