2007Journal of Wenshan Teachers' CollegeRequires access

A General Solution of Second-Order Variable Coefficients Linear Ordinary Differential Equation

Lin Qing-mei

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Abstract

The article gives a general solution to the second-order linear ordinary differential equation——y″+ A(x)y′+B(x)y=D(x) which meets the condition ofB~2+A′B-AB′=mandB″-(AB)′= m,through the in- tegration method,meanwhile the general solution formula has been deduced.

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The article gives a general solution to the second-order linear ordinary differential equation——y″+ A(x)y′+B(x)y=D(x) which meets the condition ofB~2+A′B-AB′=mandB″-(AB)′= m,through the in- tegration method,meanwhile the general solution formula has been deduced.

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Available abstract

The article gives a general solution to the second-order linear ordinary differential equation——y″+ A(x)y′+B(x)y=D(x) which meets the condition ofB~2+A′B-AB′=mandB″-(AB)′= m,through the in- tegration method,meanwhile the general solution formula has been deduced.

Key concepts: Mathematics, Ordinary differential equation, Linear differential equation, Order (exchange), Homogeneous differential equation, Mathematical analysis, Variable (mathematics), Exact differential equation

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