这个微分方程的，解法是什么呢？
我们已经写出了一个微分方程。
你们有些人也许已经，解出了微分方程。
我们不再讨论微分方程序。
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.
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.
对微分方程更近代的研究是关于定性理论。
The more recent research on differential equations is concerned with the qualitative theory .
这是一个非常，简单的微分方程，两边积分。
Namely, this is still a pretty straightforward differential equation. So let's just integrate both sides.
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.
得到一个微分方程。
偏微分方程在科学和工程上有着广泛的应用。
Partial differential equation is widely used in problems of science and engineering.
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.
这是个微分方程。
这是整个机理的完整的微分方程，不是它的一部分。
This is the full differential equation for the full mechanism. Not just one part of it.
几个微分方程。
要完全了解本课程，应必备微积分和微分方程的知识。
Calculus and Differential Equations are highly recommended for full understanding of the course.
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.
它满足微分方程，自由边界的条件以及自由角点条件。
It satisfies the differential equation, the boundary conditions of the edges and the free corner conditions.
最后，给出了上述问题在偏微分方程方面的一个应用。
At last, an application of this problem in partial differential equation is also discussed.
好的我们可以看这儿,看这个微分方程，这里没有做近似。
Well we can go look up here, looking at the differential, there are no approximations here.
我们要解决，两个成对的微分方程，这是无法解决的任务。
And so now we have to solve two coupled differential equations, which is a hopeless task.
总的来讲，所有你想解决的问题，都可以用偏微分方程来做。
Basically, to every problem you might want to consider there is a partial differential equation to solve.
在论文的最后，给出了倒向随机微分方程在金融中的几个应用。
At the end of the paper, we give the application of BSDE in finance.
区域分解算法是在并行机上求解偏微分方程数值解的一种方法。
The domain decomposition is a numerically approximating solution to partial differential equations on parallel computers.
行程化学计量给你一个关系，你可以用来，代入进你的微分方程。
This is what you started with, a, a So stroke stoichiometry give you a relationship, which you can use to plug into your differential equation here.
因此，研究倒向随机微分方程具有重要的理论意义和应用价值。
Therefore, the research on backward stochastic differential equation is of considerable theoretical significance and practical value.
再说明一下，这是关于这两个向量场，多少有点奇怪的偏微分方程。
And just to tell you again that is a strange partial differential equation relating these two vector fields.
常微分方程边值问题是常微分方程理论研究中最为重要的课题之一。
The ordinary differential equation singular boundary value problem is one of the most important branches of ordinary differential equations.
应用基于状态空间法的闭式算法对机构弹性动力学微分方程进行求解。
The State-Space method is applied to compute the differential equation of the elastodynamics of mechanism.
应用基于状态空间法的闭式算法对机构弹性动力学微分方程进行求解。
The State-Space method is applied to compute the differential equation of the elastodynamics of mechanism.
应用推荐