微分方程在考研数学中的应用

The application of differential equation in mathematics of postgraduateentrance examinationAbstractThe theory of ordinary differential equation has been established for more than 300years,and it is an important part of higher mathematics knowledge system,Among them,solvingfirst-order and second-order differential equations is the foundation and the most important.Therefore,in-depth study of special solutions and general solutions offirst-order and second-orderdifferential homogeneous and non-homogeneous equations canprovide help for our highermathematics learning and even entrance examination mathematics.Through consulting the libraryliterature,referring to the related papers of CNKI and the real problems of entrance examinationmathematics in the past ten years,this paper summarizes the research results General methodsand points of attention for solving differential equations,and the laws and methods for solvingordinary differential equations are found in the process of research,so as to study these laws,methods and points of attention in depth.Based on the above research,review suggestions forsolving differential equations in postgraduate mathematics are summarized.After research,whenencountering problems,First of all,we need to judge what kind of problems we encounter,whatkind of transformations we need to make,and then what methods,formulas and theorems weneed to adopt,Then we choose the appropriate method for the specific problem,and thedifferential equation solution also requires us to have the accurate derivation and memory for thecorresponding formula and the different characteristic roots of the characteristic equation.Key word:Differential equationMathematics for postgraduate entrance examination Generalrules Review suggestions第1页