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I need to solve the equation \begin{eqnarray} R^3 \frac{d } {dt} \left [ \frac{4}{3} \rho_{\rm ext} \left ( \frac{dR}{dt} \right )^2 \right ]+ 4 p R^2 \frac{d R} {dt} =\frac{F_E}{4\pi} \end{eqnarray}

Could you please help in this regard?

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