2011•Journal of Guizhou Normal UniversityRequires access

Integrability conditions and general solutions of a kind of first order nonlinear differential equation

Yi Le

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Abstract

The first order nonlinear differential equation dy/dx=p(x)y+q(x)(y+f(x))n+r(x) is studied.Some integrability sufficient conditions are obtained by reduction thinking method.

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The first order nonlinear differential equation dy/dx=p(x)y+q(x)(y+f(x))n+r(x) is studied.Some integrability sufficient conditions are obtained by reduction thinking method.

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Available abstract

The first order nonlinear differential equation dy/dx=p(x)y+q(x)(y+f(x))n+r(x) is studied.Some integrability sufficient conditions are obtained by reduction thinking method.

Key concepts: Nonlinear system, Mathematics, Order (exchange), Differential equation, Applied mathematics, Mathematical analysis, Physics, Economics

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