Ordinary linear differential equation with its solution is an approximate method to describe dynamic laws of nature, Strickly speaking, most laws of nature is nonlinear.
自然界的运动规律常常用线性微分方程来描述，但进行深入的考虑，更多的运动规律是非线性的。
The sum formulas of several kinds of ordinary series with function term are deduced by using the method of solving linear differential equation.
本文试应用求解一阶线性微分方程的方法导出几类常见的函数项级数的求和公式。
This paper gives an exact solution for free vibration of a physically nonuniform straight bar with varying section by the use of a class of integrable linear ordinary differential equation.
本文应用可积的一类线性微分方程求出了非均质变截面弹性直杆振动问题的一个精确解，我们应用这一精确解验证了渐近解的精确度。
Method of leading variables is method of solving linear ordinary differential equation of first order.
常数变易法是作为求解一阶线性方程的解法给出的。
Finally, some numerical examples are provided to show that the fractional order linear multiple step method for solving the fractional order ordinary differential equation is an effective method.
最后给出了一些数值例子，证实了这个分数阶线性多步法是解分数阶常微分方程的一个有效方法。
Numerical method of integral order ordinary differential equation, for example, Euler method, linear multiple step method, and so on, has had quite perfect theories.
对于整数阶常微分方程的数值解法，如欧拉法、线性多步法等都已有较完善的理论。
Proposed a new form of non-linear first-order ordinary differential equation, meanwhile, it shows the parameter form of universal solution.
提出一阶非线性常微分方程新的可积型，且给出其通解的参数形式。
Proposed a new form of non-linear first-order ordinary differential equation, meanwhile, it shows the parameter form of universal solution.
提出一阶非线性常微分方程新的可积型，且给出其通解的参数形式。
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