A straightforward method to solve the linear differential equations with constant coefficients of order<i>n</i>

Rivera-Figueroa, Antonio; Rivera-Rebolledo, J. M.

doi:10.1080/0020739x.2015.1018977

Cited by 3 publications

(1 citation statement)

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“…Employing the analogy between the first order variable coefficient equations and second order constant coefficient equations and a transformation, Tolle (2011) [10] presented a solution technique for the homogenous constant coefficient second order equations. For constant coefficient linear equations of arbitrary order, Figueroa and Rebolledo (2015) [3] constructed a general solution of the integral form. The work was indeed an extension of their previous work (Figueroa and Rebolledo, 2015a) [4] on second order differential equations which covers constant coefficient as well as variable coefficients.…”

Section: Introductionmentioning

confidence: 99%

Untitled

2024

J. Math. Prob. Equations Stat.

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A new approach is presented for solving ordinary differential equations. The new approach is named as the Core-Shell approach. Most of the well-established techniques can be re-interpreted and the results can be recovered using this new approach. The analysis is devoted mostly to linear differential equations with constant and variable coefficients. It is hoped that the undergraduate students in applied fields taking differential equation courses will benefit from the new approach by increasing their understanding of the fundamental concepts and solution techniques.

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Section: Introductionmentioning

confidence: 99%