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2007•Journal of Sichuan University of Science & EngineeringRequires access

Discussion on the Particular Solutions to One Kind of Systems of Second Order Differential Equations with Constant Coefficients

Kong Bi-jie

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Abstract

By the method of undermined coefficients,this paper is devoted to provide a particular solution of finding a kind of systems of three-dimensional second order differential equations with constant coefficients.And the non-homogeneous terms of systems of differential equations are the form of quadratic polynomial multiplied by trigonometric function.By some examples,the particular solution formulas are validated.

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What this paper is about

By the method of undermined coefficients,this paper is devoted to provide a particular solution of finding a kind of systems of three-dimensional second order differential equations with constant coefficients.And the non-homogeneous terms of systems of differential equations are the form of quadratic polynomial multiplied by trigonometric function.By some examples,the particular solution formulas are validated.

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Available abstract

By the method of undermined coefficients,this paper is devoted to provide a particular solution of finding a kind of systems of three-dimensional second order differential equations with constant coefficients.And the non-homogeneous terms of systems of differential equations are the form of quadratic polynomial multiplied by trigonometric function.By some examples,the particular solution formulas are validated.

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

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