An elementary method for obtaining general solutions to systems of ordinary differential equations
| 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.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| 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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14468 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Ordinary differential equation | |
| dc.subject | General solution | |
| dc.subject | Analytical method | |
| dc.subject | Exact solution | |
| dc.title | An elementary method for obtaining general solutions to systems of ordinary differential equations | en_US |
| dc.type | Article |