变系数线性齐次微分方程的求解

Solutions of Homogeneous Linear Differential Equation with Variable Coefficients

对变系数线性齐次微分方程,当其系数满足某种条件时,本文给出了它有x^re^(kx)型解的充要条件。

For a homogeneous Linear diferential equation with variable coefficients, the necessary and sufficient condition existing the Solution of form x ekx is shown when its coefficients satisfy certain condition.