Generalization of the Bernoulli ODE

• Douglas Azevedo ^[1] ; Michele C. Valentino ^[1]
  1. [1] Universidade Tecnologica Federal do Paraná
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 48, Nº. 2, 2017, págs. 256-260
• Idioma: inglés
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• Resumen

  • 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.