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物理学报  2006 

Hojman method for solving differential equations
求解微分方程的Hojman方法

Keywords: differential equation,Hojman theorem,conserved quantity,integral
微分方程
,Hojman定理,守恒量,积分

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Abstract:

First, the method presented by Hojman for finding the conserved quantity of the system of second order differential equations is generalized and applied to the system of first order differential equations, particularly to the odd-dimensional system for finding the integral in this paper. Next, it is proved that the Hojman theorem is a special case of the theorem given in this paper. Finally, an example is given to illustrate the application of the result.

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