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THE ELEMENTARY ANALYTIC SOLUTION TO A KIND OF ORDINARY DIFFERENTIAL EQUATION

Xueyuan Zhang

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Abstract

A kind of new ordinary differential equation was first obtained from a geometic example,then it was proved to have elementary analytic solution with the method of elementary algebraic.The concept of characteristic equation was also introduced and the algebraic expression formula of its general solution was given,thus the closed sovable range of ordinary differential equation was extended.

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What this paper is about

A kind of new ordinary differential equation was first obtained from a geometic example,then it was proved to have elementary analytic solution with the method of elementary algebraic.The concept of characteristic equation was also introduced and the algebraic expression formula of its general solution was given,thus the closed sovable range of ordinary differential equation was extended.

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Available abstract

A kind of new ordinary differential equation was first obtained from a geometic example,then it was proved to have elementary analytic solution with the method of elementary algebraic.The concept of characteristic equation was also introduced and the algebraic expression formula of its general solution was given,thus the closed sovable range of ordinary differential equation was extended.

Key concepts: Bernoulli differential equation, Mathematics, Ordinary differential equation, Algebraic differential equation, Exact differential equation, Universal differential equation, Elementary function, Riccati equation

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