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Integrate the equation in (c). \text { Make the substitutions: } x=\frac{r}{r_{0}} \quad \omega=\frac{V}{r_{0}} \quad \lambda=\frac{m}{2 \pi \varepsilon_{0} B^{2} r_{0}^{3}} \text {. } \text { Show that } \omega^{2}=\left(\frac{B e}{2 m}\right)^{2}\left(\lambda\left(1-x^{-1}\right)-\left(x-x^{-1}\right)^{2}\right) \text {. }

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