三阶线性常微分方程可积的充分必要条件

The Integrable Sufficient and Essential Conditions for Three-order Linear Differential Equation

本文论证三阶线性常微分方程/y'''+p_1(x)y''+p_2(x)y’+p_3(x)y=0可积的两个充分必要条件。

This paper proves the two integrable sufficient and essential conditions for three-order linear differential equation: y'' + p1(x)y' + p2(x)y' + p3(x)y = 0.