is Lipschitz-continuous and

We cannot solve the ODE in closed form. Our ODEs do not have a known closed-form solution. It is not always true and we still have to understand the range of the cases in which it is. The reviewer is right that Eqs. "distributional" fixed points corresponding to the mean-field analysis persist even down to relatively small sizes of the We intended to verify the qualitative validity of our result in Eq. (10)