Dynamics of Differential Equations through the Applications

S. P. Shahare, G. P. Deshpande

Abstract: Mathematics is the language of science and differential equation is one of the most important parts of this as far as science and engineering are concerned. The laws of physics are generally written down as differential equations. This chapter presents a systematic and comprehensive introduction to ordinary differential equations for engineering. In this paper mathematical concepts and various techniques are presented in a clear, logical, and concise manner. Various visual features are used to highlight focus areas. Complete illustrative diagrams are used to facilitate mathematical modeling of application problems. Thus, the emphasis is given on the relevance of differential equations through their applications in various engineering disciplines. Detailed step-by-step analysis is presented to model the engineering problems using differential equations. Such a detailed, step-by-step approach, especially when applied to practical engineering problems, helps the readers to develop problem-solving skills.

Keywords: Differential equation, Projectile motion, tuned mass dampers, bending of beams, Newton's law of Cooling

How to Cite?: S. P. Shahare, G. P. Deshpande, "Dynamics of Differential Equations through the Applications", Volume 14 Issue 12, December 2025, International Journal of Science and Research (IJSR), Pages: 2261-2264, https://www.ijsr.net/getabstract.php?paperid=SR251226153313, DOI: https://dx.doi.org/10.21275/SR251226153313