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2004•Journal of Yuzhou UniversityRequires access

Solving a kind of 2-order linear differential equation with variable coefficients

Jin‐Song Hu

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Abstract

Researched by self-variable transformation method, a kind of 2-order linear differential equation with variable coefficients that satisfy some conditions is deduced to the equation with constant coefficients, so its general solution is solved. The author finds a integrable type about 2-order linear differential equation with variable coefficients. And the author also presents theoretical basis for solving the well-known 2-order Euler equation.

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What this paper is about

Researched by self-variable transformation method, a kind of 2-order linear differential equation with variable coefficients that satisfy some conditions is deduced to the equation with constant coefficients, so its general solution is solved. The author finds a integrable type about 2-order linear differential equation with variable coefficients. And the author also presents theoretical basis for solving the well-known 2-order Euler equation.

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Available abstract

Researched by self-variable transformation method, a kind of 2-order linear differential equation with variable coefficients that satisfy some conditions is deduced to the equation with constant coefficients, so its general solution is solved. The author finds a integrable type about 2-order linear differential equation with variable coefficients. And the author also presents theoretical basis for solving the well-known 2-order Euler equation.

Key concepts: Mathematics, Variable (mathematics), Linear differential equation, Constant coefficients, Integrable system, Differential equation, Basis (linear algebra), Mathematical analysis

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