Symbolic Solution to Complete Ordinary Differential Equations with Constant Coefficients

[摘要] The aim of this paper is to introduce a symbolic technique for thecomputation of the solution to a complete ordinary differential equation with constant coefficients. The symbolic solution is computedvia the variation of parameters method and, thus, constructed overthe exponential matrix of the linear system associated with the homogeneous equation. This matrix is also symbolically determined. Theaccuracy of the symbolic solution is tested by comparing it with theexact solution of a test problem.

[学科分类] 应用数学