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2011•Journal of Changchun UniversityRequires access

Integration Method for Some Ordinary Differential Equation

Xiangyu Liu

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Abstract

The normal method of solution about 2nd order linear differential equation with constant coefficients is perfect,which can deduce the solution to high order linear differential equation with constant coefficients.But the method is more complicated for some 2nd order linear ordinary differential equation with constant coefficients,we can use more simple and practical method.The general expression of solutions is btained by making classified discussion on the differential equation according to the characteristic root.

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What this paper is about

The normal method of solution about 2nd order linear differential equation with constant coefficients is perfect,which can deduce the solution to high order linear differential equation with constant coefficients.But the method is more complicated for some 2nd order linear ordinary differential equation with constant coefficients,we can use more simple and practical method.The general expression of solutions is btained by making classified discussion on the differential equation according to the characteristic root.

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Available abstract

The normal method of solution about 2nd order linear differential equation with constant coefficients is perfect,which can deduce the solution to high order linear differential equation with constant coefficients.But the method is more complicated for some 2nd order linear ordinary differential equation with constant coefficients,we can use more simple and practical method.The general expression of solutions is btained by making classified discussion on the differential equation according to the characteristic root.

Key concepts: Homogeneous differential equation, Exact differential equation, Linear differential equation, Mathematics, First-order partial differential equation, Ordinary differential equation, Constant (computer programming), Constant coefficients

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