Lagrange-D′Alembert型微分方程的可积类型

摘要

Two kinds of Lagrange-D′Alembert's high-order differential equations are proved to have integrability by using the method of parameter transformation.The expression of their generall solution in parametric form is given.%对于两类高阶的Lagrange-D′Alembert型微分方程，运用变量变换的方法，证得它们是可积的，并给出了它们参数式通解的表达式.