- Avrupa Bilim ve Teknoloji Dergisi
- Issue: 39 Özel Sayı
- On The Geometric Approach of Differential Equations
On The Geometric Approach of Differential Equations
Authors : Vahide Bulut
Pages : 1-5
Doi:10.31590/ejosat.1142206
View : 8 | Download : 3
Publication Date : 2022-07-31
Article Type : Research
Abstract :Expressing physical facts around us possesses to use mathematical models in both theory and application. Since these models usually involves differential equations, we present a novel geometric approach to these models using developable ruled surfaces and line congruences. In this paper, a tangent developable ruled surface according to first order differential equation and its solution function is presented. Moreover, we expressed a line congrunce based on the solution of exact differential equation and its solution function. Also, some examples of tangent developable ruled surfaces and line congruences are given.Keywords : Açılabilir regle yüzey, teğet açılabilir regle yüzey, birinci mertebeden diferansiyel denklem, tam diferansiyel denklem, doğru kongrüansı.