Analytical and numerical solving of linear non-homogeneous differential equations of the first-order with changeable coefficients by using constant variation method and application of Mathematica program
Journal Title: Problemy Nauk Stosowanych - Year 2018, Vol 8, Issue
Abstract
Introduction and aim: The paper presents the analytical and numerical algorithm of solving linear non-homogeneous equations of the first order with changeable coefficients. The aim of the work is to show the algorithms for solving equations both analytically and numerically. The additional aim is to show numerical algorithms and graphical interpretation of solutions. Material and methods: Some selected equations have been chosen from the subject literature. In the solutions the constant variation method has been presented. Results: The paper presents the selected linear non-homogeneous equations of the first order with changeable coefficients containing exponential, logarithmic, trigonometric and cyclometric functions. Conclusion: Taking into account the constant variation method it is possible to solve the first order linear non-homogeneous differential equations with changeable coefficients. Using the Mathematica program it is possible quickly get a solution and create its graphical interpretation.
Authors and Affiliations
Andrzej Antoni Czajkowski, Wojciech Kazimierz Oleszak, Jerzy Dyrdał
Keywords
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