2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/44412By using Laplace transformation we developed an approximate solution to describe neutrino oscillation probabilities in arbitrary density matter. We show that this approximation solution is valid when matter potential V satisfy $V< Δm^2/2E$ and $\int VL<1$, where $L$ is the length of the neutrino oscillation . Thus, the formula is useful for propagation of the solar or supernova neutrinos with terrestrial matter effect.15 pages, 3 figuresHigh Energy Physics - Phenomenologytext