2015•Journal of Science of Teachers' College and UniversityRequires access

Matrix method for particular solutions of a class of 2nd-order inhomogeneous linear differential equation with constant coefficients

Yumin Gao

Abstract

Discuss the particular solution of 2nd-order constant coefficient non-homogeneous linear differential equation y''+py'+qy=eλxPm(x).At first suppose the polynomial in particular solution by using pending coefficients method,and then find the coefficients by solving the matrix equation they satisfied.So some new formulas are obtained,which simplify the course of finding the particular solution.

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Key concepts: Constant coefficients, Mathematics, Constant (computer programming), Homogeneous differential equation, Coefficient matrix, Linear differential equation, Mathematical analysis, Matrix (chemical analysis)