Kowa, Y KJape, J WSunzu, J MMaharaj, S D2025-11-062025-11-062025-07-06https://doi.org/10.1007/s12648-025-03731-9https://repository.must.ac.tz/handle/123456789/494This Journal Article of Science and Technical Education was Published by IJPIn this paper, the combination of the conformal Killing vector and equations of state for double layered stars provides new solutions to the Einstein field equations in the core-envelope setting. The matter composition in the core layer obeys a linear equation of state, while in the envelope is described by a quadratic equation of state. The behavior of the matter variables in the stellar sphere is found to be well behaved, and the model satisfies stability conditions. The generated compact star model satisfies the energy and equilibrium conditions for the behavior of the natural forces. The mass, compactness, and surface redshift also fall within the required range for observed stars. Radii and masses of the stars PSRJ1903?0327, SAXJ1808.4-3658, VelaX-1, 4U1608-52, HerX-1, SMCX-1 and EXO1785-248 have been regained. This signifies the astrophysical importance of our generated class of exact solutionsenArticle