A METHOD OF FINDING THE SOLUTION OF SOME IMPORTANT DIFFERENTIAL EQUATIONS

A Komilov; I Umrzakova; R Eshbekov

A METHOD OF FINDING THE SOLUTION OF SOME IMPORTANT DIFFERENTIAL EQUATIONS

Authors

A Komilov 3rd year student of the Faculty of Mathematics Samarkand State University named after Sharof Rashidov
I Umrzakova 3rd year student of the Faculty of Mathematics Samarkand State University named after Sharof Rashidov
R Eshbekov assistant of the Faculty of Mathematics

Keywords:

power series, recurrent sequence, Gauss equation, Cylindrical function, Gegenbauer equation, Elliptic integrals.

Abstract

It is known that the mathematical model of many processes in our life is represented by differential equations, and it is important to find the solutions of these differential equations in a simpler way. This article presents a method of solving some important differential equations by expanding the solution into a power series.

References

Д.С.Кузнецов. Специальные Функции, Москва-1962.

Н.Н.Лебедев. Специальные Функции и их приложения, 1935.

A.B.Khasanov. Ordinary differential equations. Samarkand-2019.

Sh.Alimov, R.Ashurov. Mathematical analysis 1. Toshkent-2018.

Т.Аzlarov, Kh.Mansurov. Mathematical analysis 2.Toshkent -1989.

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Published

2023-01-30

How to Cite

Komilov, A., Umrzakova, I., & Eshbekov, R. (2023). A METHOD OF FINDING THE SOLUTION OF SOME IMPORTANT DIFFERENTIAL EQUATIONS. Innovative Development in Educational Activities, 2(2), 144–150. Retrieved from https://openidea.uz/index.php/idea/article/view/722