二阶线性常微分方程的通解
General Solution of Second Order Linear Ordinary Differential Equation
摘要：
本文给出了求解一般二阶线性常微分方程的直接公式作为我们的主要结果，该公式所需的参数可以通过另一个微分方程（恰好是黎卡提方程）来确定。在主要结果的基础上，我们还得到了其它结果，包括变系数微分方程的特殊情况，常系数微分方程的解的公式，已知一个互补解的微分方程的解的公式.
英文摘要：
In this paper we present a direct formula for the solution of the general second order linear ordinary differential equation as our main result such that the parameters required for the formula are determined using another differential equation, which happens to be a Riccati Equation. We also derive other results based on the main result which include special cases for the concerned differential equation with variable coefficients, formula for solution of concerned differential equation with constant coefficients and formula for the solution of the concerned differential equation with one complimentary solution known.
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