• # question_answer The continuity equation in a differential form is: A) $\frac{dA}{A}+\frac{dV}{V}+\frac{dp}{\rho }=\text{constant}$B) $\frac{A}{dA}+\frac{V}{dV}+\frac{\rho }{dp}=\text{constant}$C) $\frac{dA}{A}+\frac{dV}{V}+\frac{dp}{\rho }=0$D) $AdA+VdV+p\,d\rho =0$

$Q={{A}_{\rho v}}=const$ Taking in of both sides In $A+In\,\rho +In\,v=\,In\,\,const$ Taking differential, we have $\frac{dA}{A}+\frac{d\rho }{\rho }+\frac{dv}{v}=0$