2016-Camporesi-Impulsive response method using factorization.

By Roberto Camporesi

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Abstract

Camporesi, Roberto. 2016. A fresh look at linear ordinary differential equations with constant coefficients. Revisiting the
impulsive response method using factorization. Int. J. Math. Educ. Sci. Technol. 47(1): 82-99

Summary: We present an approach to the impulsive response method for solving linear constant-coefficient
ordinary differential equations of any order based on the factorization of the differential operator. The
approach is elementary, we only assume a basic knowledge of calculus and linear algebra. In particular, we
avoid the use of distribution theory, as well as of the other more advanced approaches: Laplace transform,
linear systems, the general theory of linear equations with variable coefficients and variation of parameters.
The approach presented here can be used in a first course on differential equations for science and engineering
majors.

Keywords: ordinary differential equations, Green functions, instructional exposition

Cite this work

Researchers should cite this work as follows:

  • Roberto Camporesi (2018), "2016-Camporesi-Impulsive response method using factorization.," https://simiode.org/resources/4456.

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