机构地区: 佛山科学技术学院理学院信息科学与数学系
出 处: 《汕头大学学报(自然科学版)》 2007年第3期15-20,共6页
摘 要: 采用降阶和特征根(欧拉)方法,给出一类三维二阶常系数微分方程组的通解公式,并通过算例与拉氏变换法进行比较,说明利用该通解公式求解高阶微分方程组比采用其他方法求解更简捷,且具有通用、严谨、清晰和实用等优点. By reducing order and using Euler's eigenvalue method, the general solution formula to one kind of three-dimensional second-order ordinary differential equation groups with constant coefficients is obtained. The methods used in this paper are compared with the method using Laplacian transform with examples. It is illustrated that using general solution formula to solve the high-order differential equation groups is more concise than other methods in accuracy, clarity and practicability.