只是在用微分的语言表达，来看先前提到的例子。
Just in the language of differentials. The example that I promised.
顺便说一下，也可以从微分的角度来考虑。
By the way, we can also think of it in terms of differentials.
当对下面做微分的时候，这里的负号就消失了。
The minus sign here disappears when you take the derivative on the bottom.
函数是连续可微分的。
因此可以马上写下，这个微分方程的，解法。
So you can write down immediately the solution to this differential equation.
所以你要做的第一件事是你写下，你的微分方程。
So the first thing you do is your write down your differential equations.
这个微分方程的，解法是什么呢？
有其它的方式来得到的，从这里开始求微分。
But we have another way to find it, which is starting from this and differentiating.
这是一个，由电场e确定的偏微分方程。
It is a partial differential equation satisfied by the electric field e.
我们来看g的微分。
这是一个我们先前不了解的精密复杂的微分信号系统。
This is a sophisticated differential signaling system that we haven't previously known about.
现在要进行微分，对除以温度之后的吉布斯自由能。
OK, now I have this derivative of the Gibbs free energy divided by the temperature.
所以我们就消掉了G的微分。
我只需要取它的对数，对温度微分。
I just need to take log of it, take its derivative with respect to temperature.
让我们首先，对分母做温度的微分。
So let's take the derivative with respect to the temperature on the bottom first.
例如，这个解决方案的微分方程是一个功能。
For example, the solution of a differential equation is a function.
这将是对偏微分方程数值分析方法的新的重要尝试。
This is a important attempt for the numerical analysis methods of PDEs.
类似的方法还可以用在其它类型的偏微分方程数值解中。
Similar method may be applied in other types of partial differential equations.
常微分方程是大自然的语言。
The Ordinary differential equation is the language of the nature.
建立了在该状态下的运动微分方程。
Motion differential equation is established in this condition.
中心焦点判定是微分方程定性理论的重要组成部分之一。
The center focus decision problem is an important part of the differential equation theory.
本文给出了在复杂运动条件下，单摆的运动微分方程。
This paper give differential equations of the motion of the complex pendulum.
而一个偏微分方程就是，函数各个偏导之间的联系，看看。
And a partial differential equation is some relation between its partial derivatives. Let me see.
这是研究正倒向随机微分方程的基础。
This work is a foundation of the study of forward-backward equations.
第二类为时滞依赖于状态的微分方程。
使用椅子的扶手或者站立时双脚稍微分开。
Use the arms on the chair, or stand with your feet a bit apart.
积分上限函数是一元函数微分学的基本概念。
Integral upper limit function is a basic concept in function differential calculus.
积分上限函数是一元函数微分学的基本概念。
Integral upper limit function is a basic concept in function differential calculus.
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