Question

Let r be the distance from the origin to the point (x,y,z) in 3-space, so that \[r ^{2}=x ^{2}+y ^{2}+z ^{2}\] Evaluate the laplacian of r^7, that is:
\[\ r^7 \left( \frac{\partial^2 }{\partial x^2}
+ \frac{\partial^2 }{\partial y^2}
+ \frac{\partial^2 }{\partial z^2} \right) \] as a function of r alone.

Answer 1

@myko @Malaria @Valpey