About: Abel equation of the first kind

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In mathematics, an Abel equation of the first kind, named after Niels Henrik Abel, is any ordinary differential equation that is cubic in the unknown function. In other words, it is an equation of the form where . If and , or and , the equation reduces to a Bernoulli equation, while if the equation reduces to a Riccati equation.

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  • In mathematics, an Abel equation of the first kind, named after Niels Henrik Abel, is any ordinary differential equation that is cubic in the unknown function. In other words, it is an equation of the form where . If and , or and , the equation reduces to a Bernoulli equation, while if the equation reduces to a Riccati equation. (en)
  • In matematica, l'equazione differenziale di Abel, che prende il nome dal matematico Niels Abel, è un'equazione differenziale ordinaria della forma: dove . Se e , oppure e , l'equazione si riduce all'equazione di Bernoulli, mentre se diventa l'equazione di Riccati. (it)
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  • June 2020 (en)
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  • In mathematics, an Abel equation of the first kind, named after Niels Henrik Abel, is any ordinary differential equation that is cubic in the unknown function. In other words, it is an equation of the form where . If and , or and , the equation reduces to a Bernoulli equation, while if the equation reduces to a Riccati equation. (en)
  • In matematica, l'equazione differenziale di Abel, che prende il nome dal matematico Niels Abel, è un'equazione differenziale ordinaria della forma: dove . Se e , oppure e , l'equazione si riduce all'equazione di Bernoulli, mentre se diventa l'equazione di Riccati. (it)
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  • Abel equation of the first kind (en)
  • Equazione differenziale di Abel (it)
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