From the Gauss law we know, $\nabla \cdot \vec{E} = \rho / \epsilon_0 $.
We have given that, $\vec{E}= kr^3 \hat {r}$
Now I have problem to get the identified part. Can you please elaborate that?
2026-04-01 05:00:53.1775019653
Differential problem in Gausses law
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See, e.g., Wikipedia for the formula for the various differential operators in cylindrical and spherical coordinates.