What is the proof of this Maxwell equation

Question

$\displaystyle\frac{\partial H_{\phi}(r,t)}{\partial r}+\frac{H_{\phi}(r,t)}{r}=\frac{\partial D_z(r,t)}{\partial t}=\epsilon(r,E_z)\frac{\partial E_z(r,t)}{\partial t}$,

$\displaystyle\frac{\partial E_z(r,t)}{\partial r}=\mu_0\frac{\partial H_{\phi}(r,t)}{\partial t}$,

Answer 1

This is another form of Maxwell's 4th equation. You can find the proof here : Maxwell's Equation Proof