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In the present study, Ordinary Differential Equations (ODEs) are chosen as base models to describe dynamic structures in different branches of science. Applying the results of ODE solutions, especially, linear ODE solutions, this paper aims at developing and analyzing mathematical series. We illustrate how selected series can be expressed and summed up with the aid of solutions of related differential equations. This approach links up more with the actual approaches to problem solving as well as improving the methods of mathematical modeling.

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Solving Mathematical Series Using Linear Ordinary Differential Equations

  • 会议论文

  • 发表日期：

    2025年

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  • Basheer Abd Al Rida Sadiq

摘要

In the present study, Ordinary Differential Equations (ODEs) are chosen as base models to describe dynamic structures in different branches of science. Applying the results of ODE solutions, especially, linear ODE solutions, this paper aims at developing and analyzing mathematical series. We illustrate how selected series can be expressed and summed up with the aid of solutions of related differential equations. This approach links up more with the actual approaches to problem solving as well as improving the methods of mathematical modeling.