2010•Studies in College MathematicsRequires access

Elementary Solution to Systems of Inhomogeneous LDE with Constant Coefficients

Yan Song

Abstract

By elementary transformation,the systems of inhomogeneous linear differential equations with constant coefficients can be changed into some independent systems of higher order inhomogeneous linear differential equations with constant coefficients.Then,by the method of characteristic root of higher order homogeneous linear differential equation with constant coefficient and the method of undetermined coefficient of higher order inhomogeneous linear differential equation with constant coefficient,the fundamental set of solutions and the special solution of this system can be obtained.Finally,by the elementary transformation,the fundamental set of solutions and the special solution and then general solution of the primal systems can be obtained.

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Key concepts: Constant coefficients, Mathematics, Constant (computer programming), Linear differential equation, Homogeneous differential equation, Mathematical analysis, Differential equation, Transformation (genetics)