تقرير
Solving first order differential equations presenting elementary functions
| العنوان: | Solving first order differential equations presenting elementary functions |
|---|---|
| المؤلفون: | Duarte, L. G. S., da Mota, L. A. C. P., Queiroz, A. B. M. M. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Mathematics - Classical Analysis and ODEs, 34-xx, G.1.7, I.1 |
| الوصف: | We have already dealt with the problem of solving First Order Differential Equations (1ODEs) presenting elementary functions before in [1, 2]. In this present paper, we have established solid theoretical basis through a relation between the 1ODE we are dealing with and a rational second order ordinary differential equation, presenting a Liouvillian first Integral. Here, we have expanded the results in [3], where we have establish a theoretical background to deal with rational second order ordinary differential equations (2ODEs) via the S-function method. Using this generalisation and other results hereby introduced, we have produced a method to integrate the 1ODE under scrutiny. Our methods and algorithm are capable to deal efficiently with chaotic systems, determining regions of integrability. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2308.12391 |
| رقم الأكسشن: | edsarx.2308.12391 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |