FIRST-ORDER LINEAR DIFFERENTIAL EQUATIONS. BERNOULLI'S DIFFERENTIAL EQUATION

Memonova Gulnoza Nazrikulovna

doi:10.54613/ku.v1i1.408

FIRST-ORDER LINEAR DIFFERENTIAL EQUATIONS. BERNOULLI'S DIFFERENTIAL EQUATION

Authors

Memonova Gulnoza Nazrikulovna General secondary school teacher numbered 80th

DOI:

https://doi.org/10.54613/ku.v1i1.408

Keywords:

First-order differential equations, Linear differential equations, Initial value problems, Exact equations, Bernoulli equations

Abstract

The first-order linear differential equation is an important topic in the field of differential equations. This scientific paper provides an introduction to these equations, explaining what they are and how to solve them. Additionally, we delve into the Bernoulli differential equation and its transformations, which are a specific type of first-order nonlinear differential equation that can be transformed into a linear equation.

Foydalanilgan adabiyotlar:

Edwards, C. H. (2010). Differential equations and linear algebra. Pearson.

Pelesko, J. A., & Bernstein, D. H. (1998). Bernoulli's differential equation revisited. Mathematical and Computer Modelling, 27(6), 49-59.

Simmons, G. F., & Krantz, S. G. (2006). Differential equations with applications and historical notes. McGraw-Hill.

Stewart, J. (2015). Calculus: Early transcendentals. Cengage Learning.

Tenenbaum, M., & Pollard, H. (1985). Ordinary differential equations. Dover Publications.

Mulaydinov, F., & Solidjonov, D. Virtual va to’ldirilgan reallik texnologiyalari. Tamaddun–2022.

FIRST-ORDER LINEAR DIFFERENTIAL EQUATIONS. BERNOULLI'S DIFFERENTIAL EQUATION

FIRST-ORDER LINEAR DIFFERENTIAL EQUATIONS. BERNOULLI'S DIFFERENTIAL EQUATION

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