Resumen de Una nota sobre una clase de ecuaciones diferenciales con condición inicial aleatoria

José Manuel López Ballesteros, Clara Burgos Simón, Julia Calatayud, Juan Carlos Cortés López , Marc Jornet Sanz

• This paper shows a nice connection between Differential Equations and Probability through an illustrative example. We apply a successful algebraic strategy together with properties of expectation operator to determine the main statistical properties (mean, variance and covariance) of the solution to a non-autonomous linear differential equation whose initial condition is a random variable. Theoretical findings are illustrated by means of one example.