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This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier

本课程为提供已有常微分方程式基础的同学修习、内容包括线性代数、矩阵运算、特徵值问题、向量的微分与积分、一阶线性微分方程组、傅力叶级数和正交函数、傅力叶转换、并将对椭圆、抛物线、双曲线型式的偏微分方程式作概略介绍。

In this paper,we consider necessary conditions for optional control of second order ordinary differential equation with coefficient control and two point boundary value,thenobtain the inequality of variation.

在这篇文章中，我们考虑控制出现在最高阶系数上二阶常微分方程系统最优控制满足的必要条件，得到了最优控制满足的变分不等式。

The Ordinary differential equation is the language of the nature.

常微分方程是大自然的语言。

The oscillation of ordinary differential equation is one of important branche of Differential equations.

常微分方程解的振动性是微分方程解的重要性态之一。

Ordinary differential equations with matrix form are given by Hankel transformation.

对状态变量方程进行Hankel变换，将其转化为矩阵表示的常微分方程组。

Lumped parameter systems are described by ordinary differential equations; while distributed parameter systems are described by partial differential equations.

传递函数的定义为系统在零初始条件下，其输出信号的拉氏变换与输入信号拉氏变换的比值。

We give out the formula of the ordinary solution of the second order linear homogeneous differential equations with the parameter"λ" and the two kinds of second order linear nonhomogeneous differential equations with the parameter"λ".

给出了含参数λ的二阶线性齐次微分方程及两类含参数λ的二阶线性非齐次微分方程的通解公式。

When the soldering temperature and soldering heat-retaining period is identical, the diffusibility of Cu in the rapid-solidifying solder is remarkably higher than that of the ordinary solder.

同时，在相同的钎焊条件下，快冷钎料Cu元素的扩散能力均比普通钎料的扩散能力强。

Wing and pylon form a structure which is the major lateral scattering sources of an ordinary aircraft because a dihedral angle of ninety degrees is formed.

常规飞机的机翼与外挂架构成90°的二面角，成为飞机侧向的重要散射源。

By the methods of reducing order and Euler s eigenvalues,we obtain the general solution formula to one kind of systems of three dimensional second order ordinary differential equation with constant coefficients.

采用降阶和特征根方法，给出了一类三维二阶常系数微分方程组的通解公式，并通过算例与拉氏变换法进行了比较。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。