| Riccati方程dy/dx+ay~2=bx'可积的充分条件的探求 |
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| 引用本文： | 赵临龙.Riccati方程dy/dx+ay~2=bx'可积的充分条件的探求[J].数学的实践与认识,2010,40(8). |
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| 作者姓名： | 赵临龙 |
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| 作者单位： | 陕西安康学院,数学系,陕西,安康,725000 |
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| 基金项目： | 陕西省精品课程建设项目(2005-80); 陕西省重点专业建设项目(2008-12); 安康学院重点扶持学科建设项目(AZXZ0107) |
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| 摘 要： | 对于Riccati方程:dy/dx+ay~2=bx~m(a,b,m为常数,且ab≠0)(1)给出积充分条件:m=0,-2,-4k/(2k+1),-4k/(2k-1)(k=1,2,…)(2)的一种求法.
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| 关 键 词： | Riccati方程 可积 充分条件 求法 |
The New Solution to The Sufficient Condition of Integrability for A Old Riccati Equation dy/dx+ay2=bx' |
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| ZHAO Lin-long.The New Solution to The Sufficient Condition of Integrability for A Old Riccati Equation dy/dx+ay2=bx'[J].Mathematics in Practice and Theory,2010,40(8). |
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| Authors: | ZHAO Lin-long |
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| Institution: | ZHAO Lin-long (Department of Mathematics,Ankang University,Ankang 725000,China) |
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| Abstract: | This papre gives the new solution to Riccati equation:(dy)/(dx)+ay~2=bx~m with integrably sufflcient conditions:m=0,-2,-4k/(2k+1),-4k/(2k-1)(k=1,2,…). |
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| Keywords: | riccati equation integrable sufficient condition method |
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