| 变量分离型积分因子存在定理及应用 |
| |
| 引用本文： | 刘许成.变量分离型积分因子存在定理及应用[J].大学数学,2006,22(4):97-99. |
| |
| 作者姓名： | 刘许成 |
| |
| 作者单位： | 潍坊学院,数学系,山东,261061 |
| |
| 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.
|
| 关 键 词： | 积分因子 变量分离型积分因子 全微分方程 |
| 文章编号： | 1672-1454（2006）04-0097-03 |
| 收稿时间： | 2004-11-12 |
| 修稿时间： | 2004年11月12 |
The Decision Theorem about Variate Separated Type Integrating Factor and Its Application |
| |
| LIU Xu-cheng.The Decision Theorem about Variate Separated Type Integrating Factor and Its Application[J].College Mathematics,2006,22(4):97-99. |
| |
| Authors: | LIU Xu-cheng |
| |
| 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. |
| |
| Keywords: | integrating factor variate separated type integrating factor fully differential equation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
