佛山科学技术学院学报（自然科学版）2025，Vol.43Issue(6)：56-60,5.
一类三阶矩阵微分方程解的探究
A note on the solution of third order matrix differential equations
摘要
Abstract
This paper discusses the third-order differential equations without first order items.According to the theory of higher order equations and the theory of Matrix,this paper first reduces the lower order of homogeneous equations by the method of degradation.Then,using Cardan formula and Euler method,the general solution of the homogeneous expression of a class of two dimensional,third order constant coefficient differential equation is obtained.Furthermore,one special solution formula of trigonometric function multiplying exponential function is studied by using the method of undetermined Matrix and comparing by column,the accuracy of the general solution and the special solution of the equation is verified by an example.关键词
微分方程组/特征根法/待定矩阵法/通解公式/特解公式Key words
differential equations/characteristic root method/undetermined matrix method/general solution formula/particular solution formula分类
数理科学引用本文复制引用
刘志辉,廖美婷,梁洪雪..一类三阶矩阵微分方程解的探究[J].佛山科学技术学院学报（自然科学版）,2025,43(6):56-60,5.基金项目
国家自然科学基金资助项目(12101120) （12101120）
