Now substitute Equation 1.3 back into Equation 1.1. and show that this gives the radial equation: V \frac{d V}{d r}-\left(\frac{B e}{2 m}\right)^{2}\left(1-2 \frac{r_{0}^{2}}{r^{2}}+\frac{r_{0}^{4}}{r^{4}}\right)=\frac{e^{2}}{16 \pi m \varepsilon_{0} r^{2}}-\left(\frac{B e}{m}\right)^{2} \frac{r}{2}\left(1-\frac{r_{0}^{2}}{r^{2}}\right)