Hamilton-Jacobi method for solving ordinary differential equations

摘要

The Hamilton-Jacobi method for solving ordinary differential equations is presented in this paper.A system of ordinary differential equations of first order or second order can be expressed as a Hamilton system under certain conditions.Then the Hamilton-Jacobi method is used in the integration of the Hamilton system and the solution of the original ordinary differential equations can be found.Finally,an example is given to illustrate the application of the result.