二阶变系数线性微分方程的解法讨论

Discussion of Linear Differential Equation of Second OrderVariable CoefficientAbstract:In higher mathematical applications,the theory of ordinarydifferential equations has been developed for a long time and is often used to solvevarious practical problems.The second-order linear differential equation withvariable coefficients is one of the most important solutions and is the focus ofresearch in the academic field,however,at this stage,the equation is more aboutthe equation itself and the solution method is not deeply explored.In the real world,this equation can be used in modern technology and engineering construction,butthere are difficulties in solving it for variable system types,so there is an urgentneed for an effective solution method.In this study,we focus on the solution of thisequation from two perspectives,general and special,in order to find more solutionstrategies and to provide more meaningful references for the subsequent researchand development of the second-order linear differential equation with variablecoefficients.Translated with www.DeepL.com/Translator(free version)Key words:Second-order variable coefficients of a homogeneous lineardifferential equation;Second-order variable coefficient of inhomogeneous lineardifferential equations;particular solution;general solution