【摘要】 二个自变量的二阶线性双曲型方程auxx+2buxy+cuyy+dux+euy+g=0,当系数a,b,c,d,e,g满足一定条件时,可以利用变换T:ξ=φ(x,y),η=ψ(x,y)化为一阶线性常微分方程求解,本文给出了求解定理和计算方法.更多还原

【Abstract】 To the second order linear hyperbolic equation with two independent variables auxx+2buxy+cuyy+dux+euy+g=0 when its coefficients a,b,c,d,e satisfy given conditions,we may utilize the transformation T:ξ=φ(x,y),η=ψ(x,y) to make it as first order linear ordinary differential equation for solving.At the same time,we give the discrimination theorem and application method.更多还原