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二阶变系数线性微分方程的积分因子解法
引用本文:张凤然,马金江.二阶变系数线性微分方程的积分因子解法[J].高师理科学刊,2008,28(6).
作者姓名:张凤然  马金江
作者单位:南通大学,理学院,江苏,南通,226007
基金项目:南通大学自然科学基金项目资助
摘    要:通过寻求积分因子,求解某些类型的二阶变系数线性微分方程,给出通解公式.该方法也适于求解二阶常系数线性微分方程和二阶Euler方程.

关 键 词:二阶变系数线性微分方程  积分因子  通解

The method of intergrating factors on linear two-order ordinary differential equations with variable coefficient
ZHANG Feng-ran,MA Jin-jiang.The method of intergrating factors on linear two-order ordinary differential equations with variable coefficient[J].Journal of Science of Teachers'College and University,2008,28(6).
Authors:ZHANG Feng-ran  MA Jin-jiang
Abstract:By finding the intergrating factors,solved some second order linear ordinary differential equations with variable coefficient,and given the general integral formulas.Theses method are applied to solve the second order linear ordinary differential equations with constant coefficient and Euler equation.
Keywords:the second order linear ordinary differential equations with variable coefficient  intergrating factor  general resolution formula
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