February 1986

A Method for Solving Systems of First Order Linear Homogeneous Differential Equations when the Elements of the Forcing Vector are Modelled as Step Functions

Robert A. Johnson


This paper presents a method for solving a system of first order linear differential equations with constant coefficients when the elements of the forcing vector are step functions. The analysis presented in the text has been programmed for use in the computer simulation of linear continuous time rational expectations models using any combination of anticipated and unanticipated, permanent or temporary shocks. The program entitled "JAB" is available from the author upon request.

PDF: Full Paper

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Last Update: March 30, 2021