SOLVING NON-HOMOGENEOUS DIFFERENTIAL EQUATIONS WITH N-ORDER LINEAR CONSTANT COEFFICIENTS BY THE METHOD OF UNDEFINITE COEFFICIENTS

Authors

  • Shahzoda Valijonova Author

DOI:

https://doi.org/10.47390/ydif-y2026v2i8/n01

Keywords:

differential equation, linear equation, constant coefficient, particular solution, general solution.

Abstract

This article scientifically substantiates one of the effective methods for solving non-homogeneous differential equations of the nth order with linear constant coefficients, the method of indefinite coefficients. In the course of the research, the theoretical foundations and application limits of this method are systematically analyzed. The mechanism of choosing a particular solution for equations consisting of different elementary functions on the right-hand side is explained, and different cases are considered separately.

References

1. T.G.Ergashev. Oddiy differensial tenglamala. Toshkent 2023. 384s, O‘quv qo‘llanma.

2. M.Salohitdinov. Oddiy differensial tenglamalar. “O’zbekiston” Toshkent, 1994. 374 s, darslik.

3. Y.P. Oppoqov, N. Turgunov, LA. Gafarov. Oddiy differensial tenglamalardan misol va masalalar totlami. «Voris-nashriyot» Toshkent-2009. Oliy texnika о ‘quv yurtlari talabalari uchun о‘quv qo ‘llanmA.

4. Tenenbaum M., Pollard H. Ordinary Differential Equations. – Dover, 2016.

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Published

2026-04-29

Issue

Vol. 2 No. 8 (2026): SCIENCE OF THE NEW ERA: INNOVATIVE IDEAS AND SOLUTIONS FOR HUMANITY

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Valijonova, S. (2026). SOLVING NON-HOMOGENEOUS DIFFERENTIAL EQUATIONS WITH N-ORDER LINEAR CONSTANT COEFFICIENTS BY THE METHOD OF UNDEFINITE COEFFICIENTS. SCIENCE OF THE NEW ERA: INNOVATIVE IDEAS AND SOLUTIONS FOR HUMANITY, 2(8), 6-9. https://doi.org/10.47390/ydif-y2026v2i8/n01