On The Geometric Approach of Differential Equations

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Avrupa Bilim ve Teknoloji Dergisi
Issue:39 Special Issue
On The Geometric Approach of Differential Equations

On The Geometric Approach of Differential Equations

Pages : 1-5

View : 21 | Download : 13

Publication Date : 2022-07-31

Article Type : Research Paper

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

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