三峡大学学报（自然科学版）2011，Vol.33Issue(5)：96-98,3.
一类二阶变系数非线性微分方程的通解及应用
General Solution of Second Order Nonlinear Differential Equations with Variable Coefficients and Its Application
摘要
Abstract
According to characteristics of the second order nonlinear differential equations with variable coefficients, the reduced-order method has been used; and then an easy way to find the general solution is given; meanwhile, the general solution formula has been obtained. Finally, a series of integrable second-order variable coefficient non-homogeneous linear differential equations and general solution formula in special circumstances has been received; furthermore the integrable theory of the second-order linear differential equation with variable coefficients has been enriched.关键词
非线性微分方程/降阶法/通解Key words
nonlinear differential equations/reduced-order method/general solution分类
数理科学引用本文复制引用
冯录祥..一类二阶变系数非线性微分方程的通解及应用[J].三峡大学学报（自然科学版）,2011,33(5):96-98,3.基金项目
陕西省教育厅科研计划项目(2010JK400) （2010JK400）
宝鸡文理学院重点科研项目(ZK1014) （ZK1014）
