in Eqs. (\[Conc-Frac-1-Henry\]) or (\[Conc-Frac-1\]) the definition of $R_\sigma$ (Eq. (\[R\_s\])), we have, correspondingly, $$\label{Conc-Frac-Henry}
\frac{n_0 - n_R}{n_\infty} = \zeta - \frac{3}{2} \frac{R_\sigma}{R}$$ and $$\label{Conc-Frac}
\frac{n_0 - n_R}{n_\infty} = \zeta + 1 - \sqrt{1 + \frac{3}{2} \frac{R_\sigma}{R}}\; .$$ Eqs. (\[Conc-Frac-Henry\]) and (\[Conc-Frac\]) allow us to rewrite the equation of bubble dynamics Eq. (\[Dyn-Eq-2\]) in the final form, namely $$\label{Dyn-Eq-Henry}
R \dot{R} \left[ 1 + \frac{R_\sigma}{R} \right] = D s \left[ \zeta - \frac{3}{2} \frac{R_\sigma}{R} \right]$$ for Henry’s solubility law; and $$\label{Dyn-Eq}
R \dot{R} \left[ 1 + \frac{R_\sigma}{R} \right] = D s \left[ \zeta + 1 - \sqrt{1 + \frac{3}{2} \frac{R_\sigma}{R}} \right]$$ for Sievert’s solubility law.

While Eq. (\[Dyn-Eq-Henry\]) was obtained as early as in 1950 in paper by Epstein and Plesset \[\[Epstein-Plesset\]\], Eq. (\[Dyn-Eq\]) was not obtained previously. In paper by Cable and Frade it was presented only a special case of Eq. (\[Dyn-Eq\]), when $\zeta = -1$: $$\label{Dyn-Eq-Dissolution}
R \dot{R} \left[ 1 + \frac{R_\sigma}{R} \right] = - D s \sqrt{1 + \frac{3}{2} \frac{R_\sigma}{R}}$$ (Eq. (34) in \[\[Cable-Frade\]\]). Such value of supersaturation corresponds to the dissolution of gas bubble in the pure solvent. And even for this special case of Eq. (\[Dyn-Eq\]) analytical solution was not obtained. We present the 