EXACT DIFFERENTIAL EQUATIONS. INTEGRATING FACTOR

Authors

  • Maqsuda Oʻralova Uzbekistan and Finland Pedagogical Institute Teacher at the Department of Mathematics

Keywords:

Exact differential equations, Integrating factor, Ordinary differential equations, Mathematical modeling, Engineering applications

Abstract

This article provides an in-depth analysis of exact differential equations and the integrating factor method. It explores the theoretical foundations, practical applications, and recent advancements in this field of mathematics. The study emphasizes the importance of these concepts in solving various mathematical and real-world problems, particularly in physics and engineering

References

1. Boyce, W.E. and DiPrima, R.C., 2012. Elementary Differential Equations and Boundary Value Problems. John Wiley & Sons, New York.

2. Ince, E.L., 1956. Ordinary Differential Equations. Dover Publications, New York.

3. Polyanin, A.D. and Zaitsev, V.F., 2018. Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems. CRC Press, Boca Raton.

4. Öziş, T. and Akın, Ö., 2015. "On the integrating factor method for exact and approximate solutions to nonlinear evolution equations." Applied Mathematics and Computation, 265, pp.1193-1203.

5. Salohiddinov, M., 2005. Differential Equations and Their Applications. Tashkent University Press, Tashkent (in Uzbek).

6. Zaitsev, V.F. and Polyanin, A.D., 2001. Handbook of Exact Solutions for Ordinary Differential Equations. CRC Press, Boca Raton.

7. Simmons, G.F., 2016. Differential Equations with Applications and Historical Notes. CRC Press, Boca Raton.

8. Zill, D.G., 2012. A First Course in Differential Equations with Modeling Applications. Cengage Learning, Boston.

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Published

2024-10-12

How to Cite

EXACT DIFFERENTIAL EQUATIONS. INTEGRATING FACTOR. (2024). CONFERENCE ON THE ROLE AND IMPORTANCE OF SCIENCE IN THE MODERN WORLD, 1(9), 150-154. https://universalconference.us/universalconference/index.php/crismw/article/view/2649