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一类特殊分式线性方程的新解法
NEW SOLUTIONS FOR A SPECIAL FRACTIONAL LINEAR EQUATION
【摘要】 讨论了一类特殊类型的分式线性微分方程dy/dx=a1x+b1x+c1/a2x+b2x+c2的求解。通过观察题设条件,给出两种较为简洁的新解法,并将其与常规解法进行了比较。
【Abstract】 This paper discusses some new solutions for a special fractional linear ordinary differential equation, that is dy/dx=a1x+b1x+c1/a2x+b2x+c2. By means of observing the given condition, two new concise solutions are presented and are compared with the traditional solutions.
【关键词】 分式线性方程;
变量分离方程;
恰当方程;
【Key words】 Fractional linear differential equation; Separation of variables; Exact equation;
【Key words】 Fractional linear differential equation; Separation of variables; Exact equation;
【基金】 安徽省级教学研究项目(项目编号:2012jyxm492);安徽高校省级自然科学研究项目(项目编号:KJ2012A205);巢湖学院科研启动经费项目
- 【文献出处】 巢湖学院学报 ,Journal of Chaohu College , 编辑部邮箱 ,2016年06期
- 【分类号】O175
- 【下载频次】65