Lie group method for constructing integrating factors of first-order ordinary differential equations. Issue 2 (7th February 2023)

• Record Type: Journal Article
• Authors: Feng, Yuqiang; Yu, Jicheng
• Is Part Of: International journal of mathematical education in science and technology. Volume 54:Issue 2(2023)
• Page Start: 292
• Page End: 308
• Publication Date: 2023-02-07
• Subjects: First-order ordinary differential equation -- integrating factor -- Lie group method -- Lie symmetry analysis -- group generator; Lie symmetry analysis -- Group generator; Mathematics -- Study and teaching -- Periodicals; Mathematics -- Periodicals; 510.07
• DOI: 10.1080/0020739X.2021.1992027
• Languages: English
• ISSNs: 0020-739X

Abstract

ABSTRACT: This paper introduces the basic knowledge of integral factors of first-order ordinary differential equations and Lie symmetry analysis. It then discusses the principle of constructing an integral factor of the first-order ordinary differential equation by the Lie symmetric method. Finally, it presents some examples to show the process of constructing the integral factor of the first-order ordinary differential equation and finding the general solutions.