2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/87284We show that any second order linear ordinary diffrential equation with constant coefficients (including the damped and undumped harmonic oscillator equation) admits an exact discretization, i.e., there exists a difference equation whose solutions exactly coincide with solutions of the corresponding differential equation evaluated at a discrete sequence of points (a lattice). Such exact discretization is found for an arbitrary lattice spacing.17 pages plus 7 figuresPopular PhysicsComputational Physicstext