dc.contributor.author Rodrigo, Marianito R. ( ) dc.date.accessioned 2021-08-27T16:17:57Z dc.date.available 2021-08-27T16:17:57Z dc.date.issued 2021-06-26 dc.identifier.citation Rodrigo, M. R. (2021). An elementary method for obtaining general solutions to systems of ordinary differential equations. Electronic Journal of Differential Equations, 2021(58), pp. 1-20. en_US dc.identifier.issn 1072-6691 dc.identifier.uri https://digital.library.txstate.edu/handle/10877/14468 dc.description.abstract An analytical method is proposed for finding the general solution of a system of ordinary differential equations (ODEs). The general solution is expressed as a series which in some cases can be summed to give an expression in closed form. A sufficient condition for the series to converge is derived. Illustrative examples are given for scalar first-order ODEs (Riccati, Abel, homogeneous, Bernoulli, linear, separable) and for higher order ODEs (Airy, linear oscillator, Lienard, van der Pol). The method relies only on a calculus background. en_US dc.format Text dc.format.extent 20 pages dc.format.medium 1 file (.pdf) dc.language.iso en en_US dc.publisher Texas State University, Department of Mathematics en_US dc.source Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. dc.subject Ordinary differential equation en_US dc.subject General solution en_US dc.subject Analytical method en_US dc.subject Exact solution en_US dc.title An elementary method for obtaining general solutions to systems of ordinary differential equations en_US dc.type publishedVersion txstate.documenttype Article dc.rights.license This work is licensed under a Creative Commons Attribution 4.0 International License. dc.description.department Mathematics
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