2008•Journal of Baoji University of Arts and SciencesRequires access
A formula to the solutions of initial value problems of linear differential equations with constant coefficients
Yan Yang
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Abstract
Aim Giving a formula to the linear ordinary differential equations with constant coefficients and quasi-polynomial non-homogeneous terms.Methods By means of using differential operators,ingenious logical deductions and coefficients comparing,the formulae of coefficients of the polynomials in the solutions are determined.Results A recursion formula to the solutions of a class of linear ordinary differential equations with constant coefficients is given.Conclusion The method of differential operators for solving linear ordinary differential equations with constant coefficients can be generalized further.