2005Journal of Lanzhou Polytechnic CollegeRequires access

The Coefficient Variation of Non-homogeneous Linear High-order Differential Equation

Zi Wang

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Abstract

Directed against the problems of solving non-homogeneous linear high-order differential equation and nonhomogeneous linear first-order differential equation groups in other embranchment subjects and relevant subjects of higher mathematics, this paper extends the coefficient-variation of the non-homogeneous linear first-order differential equation to homogeneous linear n-order differential equation and non-homogeneous linear first-order differential equation groups, then deduces its general solution formula,and proves it by examples.

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Directed against the problems of solving non-homogeneous linear high-order differential equation and nonhomogeneous linear first-order differential equation groups in other embranchment subjects and relevant subjects of higher mathematics, this paper extends the coefficient-variation of the non-homogeneous linear first-order differential equation to homogeneous linear n-order differential equation and non-homogeneous linear first-order differential equation groups, then deduces its general solution formula,and proves it by examples.

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Available abstract

Directed against the problems of solving non-homogeneous linear high-order differential equation and nonhomogeneous linear first-order differential equation groups in other embranchment subjects and relevant subjects of higher mathematics, this paper extends the coefficient-variation of the non-homogeneous linear first-order differential equation to homogeneous linear n-order differential equation and non-homogeneous linear first-order differential equation groups, then deduces its general solution formula,and proves it by examples.

Key concepts: Homogeneous differential equation, Linear differential equation, Mathematics, Homogeneous, Differential equation, Mathematical analysis, Exact differential equation, First-order partial differential equation

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