2018American Mathematical MonthlyRequires access

A Characterization of Bernoulli Differential Equations

Samuel G. Moreno, Esther M. García–Caballero

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Abstract

An ordinary differential equation of first order y′ = f(x, y) is called of Bernoulli type if it can be written as (1) with P, Q continuous and where, here and in the sequel, D is an open convex set...

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An ordinary differential equation of first order y′ = f(x, y) is called of Bernoulli type if it can be written as (1) with P, Q continuous and where, here and in the sequel, D is an open convex set...

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Available abstract

An ordinary differential equation of first order y′ = f(x, y) is called of Bernoulli type if it can be written as (1) with P, Q continuous and where, here and in the sequel, D is an open convex set...

Key concepts: Bernoulli's principle, Characterization (materials science), Mathematics, Bernoulli differential equation, Differential (mechanical device), Applied mathematics, Differential equation, Mathematical analysis

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