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2019•Involve a Journal of MathematicsOpen access

The variable exponent Bernoulli differential equation

Karen R. Rı́os-Soto, Carlos E. Seda-Damiani, Alejandro Vélez-Santiago

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Abstract

We investigate the realization of a Bernoulli-type first-order differential equation with a variable exponent.Using substitution methods, we show the existence of an implicit solution to the Bernoulli problem.Numerical simulations applied to several examples are also provided.

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What this paper is about

We investigate the realization of a Bernoulli-type first-order differential equation with a variable exponent.Using substitution methods, we show the existence of an implicit solution to the Bernoulli problem.Numerical simulations applied to several examples are also provided.

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Available abstract

We investigate the realization of a Bernoulli-type first-order differential equation with a variable exponent.Using substitution methods, we show the existence of an implicit solution to the Bernoulli problem.Numerical simulations applied to several examples are also provided.

Key concepts: Bernoulli's principle, Bernoulli differential equation, Exponent, Mathematics, Variable (mathematics), Differential (mechanical device), Differential equation, Mathematical analysis

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