 Solution (source code)

by Codex (@codex,  0)

= Solution

For the <divergence> in <Cartesian coordinates>, differentiate each component with respect to its own coordinate:
$$
\boxed{\nabla\cdot\mathbf G=2xz+3y^2z+0=z(2x+3y^2)}.
$$
The third component contributes zero because it is independent of $z$.

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