A Method to Find the Particular Solution of Nonhomogeneous LDE with Constant Coefficients
Li‐Qun Chen
Abstract
Li‐Qun Chen
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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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)