On the General Solution of 2th Order Linear Differential Equation

Authors

  • J. López-Bonilla
  • G. Posadas-Durán
  • O. Salas-Torres

DOI:

https://doi.org/10.51200/bsj.v38i2.4414

Keywords:

Linear differential equation of second order, Variation of parameters, Factorization method

Abstract

We employ a method of factorization to obtain the general solution of the second order linear differential equation, which is an alternative procedure to the usual Variation of Parameters method of Lagrange. We consider that our approach can be adapted to linear differential equations of the third and fourth order.

References

A. Hernández-Galeana, J. López-Bonilla, R. López-Vázquez, On the second order linear differential equation, Pure and Appl. Maths. Lett. 2 (2014) 31-34.

G. Bahadur Thapa, A. Domínguez-Pacheco, J. López-Bonilla, On the linear differential equation of second order, Prespacetime Journal 6, No. 10 (2015) 999-1001.

G. Krishna Srinivasan, A note on Lagrange’s method of variation of parameters, Missouri J. Math. Sci.19 (2007) 11-14.

J. H. Caltenco, J. López-Bonilla, J. Morales, G. Ovando, On an iterative method to solve 2th order homogeneous linear differential equations, Inform. Sci. Comput. No. 1 (2014) 1-8.

A. Hernández-Galeana, J. López-Bonilla, R. López-Vázquez, On the second order linear differential equation, Pure and Appl. Maths. Lett. 2 (2014) 31-34.

J. López-Bonilla, A. Zaldívar-Sandoval, J. Yaljá Montiel, 2th order linear differential operator in its exact form, J. Vect. Rel. 5, No. 1 (2010) 139-141.

J. López-Bonilla, S. Vidal-Beltrán, S. Yáñez-San Agustín, Homogeneous linear differential equation ofsecond order, Prespacetime Journal 7, No. 13 (2016) 1786-1788. J. López-Bonilla, G. Posadas-Durán, O. Salas-Torres, Variational principle for, Prespacetime Journal 8, No. 2 (2017) 226-228.

J. López-Bonilla, B. Man Tuladhar, B. Moreno-Ley, On the 3rd. order linear differential equation, Kathmandu Univ. J. Sci. Eng. & Techn. 8, No. 2 (2012) 7-10.

T. Quinn, S. Rai, Variation of parameters in differential equations, PRIMUS 23, No. 1 (2012) 25-44.

V. Barrera F., J. López-Bonilla, R. López-Vázquez, On the particular solution of Prespacetime Journal 7, No. 12 (2016) 1677-1679.

Z. Ahsan, Differential equations and their applications, Prentice-Hall, New Delhi (2004).

Z. Ahsan, R. Cruz-Santiago, J. López-Bonilla, Linear differential equations of third and fourth order, Aligarh Bull. Maths. 31, No. 1 (2012) 5-7

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Published

11-07-2023
Total Views: 28 | Total Downloads: 27