Symbolic analytical solutions for the abundances differential equations of the Helium burning phase

In this paper, a literal analytical solution is developed for the abundances differential equations of the helium burning phase in hot massive stars. The abundance for each of the basic elements ⁴He,¹²C,¹⁶O and ²⁰Ne is obtained as a recurrent power series in time, which facilitates its symbolic and numerical evaluations. Numerical comparison between the present solution and the numerical integration of the differential equations for the abundances show good agreement.