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2016•International Journal of Mathematical Education in Science and TechnologyRequires access

Generalization of the Bernoulli ODE

Douglas Azevedo, Michele Cristina Valentino

Open publisher page 6 citations

Abstract

In this note, we propose a generalization of the famous Bernoulli differential equation by introducing a class of nonlinear first-order ordinary differential equations (ODEs). We provide a family of solutions for this introduced class of ODEs and also we present some examples in order to illustrate the applications of our result.

About this research paper

What this paper is about

In this note, we propose a generalization of the famous Bernoulli differential equation by introducing a class of nonlinear first-order ordinary differential equations (ODEs). We provide a family of solutions for this introduced class of ODEs and also we present some examples in order to illustrate the applications of our result.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this note, we propose a generalization of the famous Bernoulli differential equation by introducing a class of nonlinear first-order ordinary differential equations (ODEs). We provide a family of solutions for this introduced class of ODEs and also we present some examples in order to illustrate the applications of our result.

Key concepts: Ode, Generalization, Bernoulli differential equation, Mathematics, Bernoulli's principle, Class (philosophy), Ordinary differential equation, Applied mathematics

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