2001•Journal of Shanghai Second Polytechnic UniversityRequires access

Parametric Solution of Ordinary Differential Equation of the First Kind

Xiaoli Zhang

Abstract

：This paper is concerned with the general integrability of a new and practical kind of ordinary differential equation, general solution of which is come out with its pqrameter solution according to the delimiter of its criterion. Its conclusion: the first order linear differential equation and Bernoulli differential equation are particular types of this kind in which new and practical integrability of the famous Riccatti differential equation has been worked out.

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Available abstract

Key concepts: Bernoulli differential equation, Exact differential equation, First-order partial differential equation, Universal differential equation, Mathematics, Integrating factor, Riccati equation, Homogeneous differential equation