2010Studies in College MathematicsRequires access

A Method to Find the Particular Solution of Nonhomogeneous LDE with Constant Coefficients

Li‐Qun Chen

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Abstract

Based on properties of fundamental solution matrix,properties of matrix exponential function,and the method of variation of constant,a LDE with constant coefficient can be transformed into a system of first-order LDEs,thereby,a new particular solution formula turns up.Examples show that the new method works well.

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What this paper is about

Based on properties of fundamental solution matrix,properties of matrix exponential function,and the method of variation of constant,a LDE with constant coefficient can be transformed into a system of first-order LDEs,thereby,a new particular solution formula turns up.Examples show that the new method works well.

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Available abstract

Based on properties of fundamental solution matrix,properties of matrix exponential function,and the method of variation of constant,a LDE with constant coefficient can be transformed into a system of first-order LDEs,thereby,a new particular solution formula turns up.Examples show that the new method works well.

Key concepts: Mathematics, Constant (computer programming), Constant coefficients, Mathematical analysis, Matrix (chemical analysis), Exponential function, Matrix exponential, Function (biology)

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