2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70553We give sufficient conditions for a linear differential equation to have a given semisimple group as its Galois group. For any linear algebraic group G given as a semidirect product of a finite subgroup and a normal subgroup that is a product of groups of type An, Cn, Dn, E6, or E7, we construct a differential equation over C(x) having Galois group G.Several misprints have been corrected and the statement of Propositions 3.2 and 3.4 have been made more precise and their proofs expandedGeneral MathematicsClassical Analysis and ODEsGroup Theory34M50 (Primary) 12H05, 12H20 (Secondary)text