常微分方程与代数方程的联系

The relationship between the ordinary differential equation and the algebraic equation

论文就常微分方程和代数方程的联系进行讨论,这种联系具体表现在代数方程在常微分方程中的基础作用和常微分方程对代数方程的指导作用一方面,代数方程的因式分解是微分方程算子解法的基础;另一方面,常微分方程作为代数方程自然延伸和发展的学科,必然对代数方程的研究有着重要的指导作用。

This article carries on the discussion on the ordinary differential equation and the algebraic equation .This kind of relation present on the ordinary differential equation in ordinary differential equation foundation function and ordi‐nary differential equation to the algebraic equation instruction function .On one hand ,the foundation of the solution on the ordinary differential equation operator is the factorization of the mathematics algebraic equation .On the other hand , the ordinary differential equation is the nature extends and the development of the algebraic equation .So there inevitably has an important instruction function to the research of the algebraic equation .