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An application of Ritt’s low power theorem
Published online by Cambridge University Press: 22 January 2016
Abstract
Consider an algebraic differential equation F = 0 of the first order. A rigorous definition will be given to the classical concept of “particular solutions” of F = 0. By Ritt’s low power theorem we shall prove that a singular solution of F = 0 belongs to the general solution of F if and only if it is a particular solution of F = 0.
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- Research Article
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1977
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