{"docId":10278,"paperId":10278,"url":"https:\/\/cm.episciences.org\/10278","doi":"10.46298\/cm.10278","journalName":"Communications in Mathematics","issn":"1804-1388","eissn":"2336-1298","volume":[{"vid":673,"name":"Volume 31 (2023), Issue 1"}],"section":[],"repositoryName":"arXiv","repositoryIdentifier":"1901.05054","repositoryVersion":4,"repositoryLink":"https:\/\/arxiv.org\/abs\/1901.05054v4","dateSubmitted":"2022-11-08 22:19:10","dateAccepted":"2022-11-09 12:42:18","datePublished":"2022-11-11 10:45:18","titles":["Solution of the equation $y^{\\prime}=f(y)$ and Bell Polynomials"],"authors":["L\u00f3pez, Ronald Orozco"],"abstracts":["In this paper we use Faa di Bruno's formula to associate Bell polynomial values to differential equations of the form $y^{\\prime}=f(y)$. That is, we use partial Bell polynomials to represent the solution of such an equation and use the solution to compute special values of partial Bell polynomials.","Comment: 13 pages"],"keywords":["Mathematics - Dynamical Systems","Mathematics - Combinatorics","Mathematics - Rings and Algebras"]}