标准形式y″+py′+qy=0 特征方程r^2+pr+q=0 通解1.两个不相等的实根：y=C1e^(r1x)+C2e^(r2x) 2.两根相等的实根：y=(C1+C2x)e^(r1x) 3.共轭复根r=α+iβ：y=e^(αx)*(C1cosβx+C2sinβx)
二阶常系数线性微分方程
Second order linear differential equation with constant coefficients
以上为机器翻译结果，长、整句建议使用 人工翻译 。
一种重要的情形是常系数二阶线性齐次微分方程。
An important case is the linear homogeneous second-order differential equation with constant coefficients.
对二阶变系数非线性微分方程的常系数化给出两个使其可积的条件，并举例论证。
The two conditions of the second order nonlinear differential equation with variable coefficient are given and expounded with examples.
二阶常系数非齐次线性微分方程的特解一般都是用“待定系数”法求得的，但求解过程都比较繁琐。
In general, special solution of non-homogeneous linear equation of constant coefficient of the second order is obtained by the method of undetermined coefficient, but it's process is too complicated.
标准形式y″+py′+qy=0 特征方程r^2+pr+q=0 通解1.两个不相等的实根：y=C1e^(r1x)+C2e^(r2x) 2.两根相等的实根：y=(C1+C2x)e^(r1x) 3.共轭复根r=α+iβ：y=e^(αx)*(C1cosβx+C2sinβx)
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