Eq. (2.22): $\frac{1}{\dot\rho}\frac{d}{dt}\log\frac{\dot\rho^4}{\dot\phi^2} = -2\big(\frac{\ddot\phi}{\dot\rho\dot\phi}+\frac{\dot\phi^2}{\dot\rho^2}\big)$

Initializing...

Eq. (2.22): $\frac{1}{\dot\rho}\frac{d}{dt}\log\frac{\dot\rho^4}{\dot\phi^2} = -2\big(\frac{\ddot\phi}{\dot\rho\dot\phi}+\frac{\dot\phi^2}{\dot\rho^2}\big)$ · Prove2Me