2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163613We investigate the problem of the existence of first integrals for multidimensional and ordinary linear differential systems with constant coefficients. The spectral method of the first integrals basis construction for these systems of linear differential equations is developed.37 pagesClassical Analysis and ODEsDynamical Systems34A30text