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About: Abel equation of the first kind     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatOrdinaryDifferentialEquationsyago:Abstraction100002137yago:Communication100033020yago:DifferentialEquation106670521yago:Equation106669864yago:MathematicalStatement106732169yago:Message106598915yago:Statement106722453 New Facet based on Instances of this Class

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.