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变量分离型积分因子存在定理及应用
The Decision Theorem about Variate Separated Type Integrating Factor and Its Application
【摘要】 给出了变量分离型积分因子μ(x,y)=p(x)q(y)的定义,得到了微分方程M(x,y)dx+N(x,y)dy=0存在变量分离型积分因子μ(x,y)=p(x)q(y)的充要条件和计算积分因子的公式.
【Abstract】 This paper gives the definition of variate separated type integrating factor μ(x,y)=p(x)q(y) and obtains.The necessary and sufficient condition of differential equation Mdx+Ndy=0 existing variate separated type integrating factor μ(x,y)=p(x)q(y) and the calculating formula of integrating factor.
【关键词】 积分因子;
变量分离型积分因子;
全微分方程;
【Key words】 integrating factor; variate separated type integrating factor; fully differential equation;
【Key words】 integrating factor; variate separated type integrating factor; fully differential equation;
- 【文献出处】 大学数学 ,College Mathematics , 编辑部邮箱 ,2006年04期
- 【分类号】O175
- 【被引频次】4
- 【下载频次】314