Linear ordinary differential equations with constant coefficients. Revisiting the impulsive response method using factorization

• Autores: Roberto Camporesi
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 42, Nº. 4, 2011, págs. 497-514
• Idioma: inglés
• DOI: 10.1080/0020739x.2010.543162
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• Resumen

  • We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations 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 the variation of constants method. The approach presented here can be used in a first course on differential equations for science and engineering majors.