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常微分方程的解法

关键字:1阶常微分方程；高阶常微分方程；解法.

The solution of ordinary differential equations

Abstract: This paper mainly discusses some related solutions of the first-order and higher-order ordinary differential equations． This paper firstly introduces the basic concept of differential equations． on such a basis, the paper probes into the solutions of the first-order ฌdifferential equations including the main types such as variable separable equation, separable variable equations which can be translated into the equation homogeneous equation, a linear differential equations and the proper equation． To solve such types of first-order differential equation, the methods can be used: variable separation, transformation, a linear equation of constant ヅchange of law and the appropriate equations direct observation, portfo¢lio breakdown, integral contrast． Finally，it discusses the solutions of the higher-order differential equation． The solution are non-homogeneous linear equation of constant variation , Euler be determined index of constant coefficient of linear equations, nonhomogeneous linear equations comparison method and Laplace transform method． In addition✌, the method of transform is used to solve two⌛ special second ordinary differential equations．

Keywords: first-order ordinary differential equations; higher-order ordinary differential equations; Solution ．