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Nonlinear differential equations and algebraic systems

DOI: 10.1155/s0161171278000290

Keywords: Riccati equations , Abel equations , Cauchy-Kowalewski theorem , Cauchy-Kowalewski system , universal Cauchy-Kowalewski system.

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Abstract:

In this paper we obtain the general solution of scalar, first-order differential equations. The method is variation of parameters with asymptotic series and the theory of partial differential equations.

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