DO NOT USE AI PLEASE! Rewrite the continuity equation for the following specific cases. One dimensional, verti$-$

cal, transient flow. Two dimensional, horizontal, steady state flow. Three dimensional flow

through a homogeneous, isotropic medium.

The general form of the continuity equation is: $\frac{\text{d}\text{e}\text{l}}{del{x}_i}[K_{ij}\frac{\text{d}\text{e}\text{l}\text{H}}{del{x}_j}]=g(+n)\frac{\text{d}\text{e}\text{l}\text{H}}{\text{d}\text{e}\text{l}\text{t}}$