你们有些人也许已经，解出了微分方程。
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.
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.
当你试图接住一个飞行中的球时，是否会通过解微分方程来确定自己的位置？
Do you position yourself to catch a ball by solving differential equations in your head, on the fly?
相反，为了证明“红色效应”，我应该使用一张一个老男人用红笔求解微分方程系统的图像。
Instead, to demonstrate the "red effect" I should have used an image of an elderly man solving a system of differential equations using a red pen.
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.
在接下来的一年里我不得不上额外的几门课程，我选择在接下来的暑假修完近世代数和微分方程。
I had to take a few extra courses during the next year, and I chose reading courses in modern algebra and differential equations for the summer afterwards.
几个微分方程。
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.
在转换文档时，XSLT是一种极其高效的语言，但对于更为传统的任务，比如说在求微分方程的积分或与数据库通信时。
XSLT is a wonderfully efficient language for transforming documents, but it's not always the best language for more traditional tasks like integrating differential equations or talking to databases.
在方程课上，我听了一系列未公开的演讲，强调的是微分方程的解的存在证明及其唯一性。
For the equations course, I was given a set of unpublished lectures that emphasized existence proofs and uniqueness of solutions to differential equations.
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.
数学方程，从简单的代数式到富有挑战性的困难的微分方程，这些简洁的模式都允许我们把一个巨大的物理现象纳入其中。
Mathematical equations, from simple algebraic ones to the more challenging differential equations, have allowed us to summarize an enormous amount of physical phenomena into a simple format.
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.
现在，如果你计算时间，会很接近终端速度，这并不简单，因为你们要解一个，令人厌恶的微分方程。
Now, if you want to calculate the time that it takes to get close to terminal speed, that is not an easy task, because you are going to end up with a nasty differential equation.
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.
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.
他记得30年前，华尔街的公司发现一些物理学家懂微分方程，于是乎招他们来，有做分析员的也有做交易员的。
Thirty years ago, he says, Wall Street firms realised that some physicists could work out differential equations and recruited them to become “quants”, analysts and traders.
我们已经写出了一个微分方程。
可汉学院（Khan Academy） -超过1200个视频教程，内容涵盖自基础算术、代数至微分方程、物理学、化学、生物学和金融学。
Over 1200 videos lessons covering everything from basic arithmetic and algebra to differential equations, physics, chemistry, biology and finance.
“修过微分方程科目的物理学博士不再有竞争力”，Schwartz博士说道。
“A PhD physicist with one course on differential equations is not competitive,” says Dr Schwartz.
根据时间的变化，x，is，，of，course，，changing，in，some，way,发生相应的变化，当你得到了,和时间的正确关系，for，x，as，a，function，of，time,你把它代入,这个微分方程，这个等式，就能得到满足。
x as a function of time, and when you have the correct solution x and you substitute that back into that differential equation, that equation will have to be satisfied.
但这一偏微分方程不能直接积分，所以通常用纳维法、瑞利-里兹法、有限差分方法等方法求解。
But this partial differential equation can not be directly integral, so usually use Navier method, Rayleigh Ritz method and finite difference method and other methods.
在这种方法中，我们可以在对常微分方程进行积分的过程中自由选择步长。
In this approach we have the freedom in the choice of step size during the integration of the ordinary differential equation.
该模型的动态特性可由对偶微分方程描述，它具有从状态空间内任一初始点找出多个稳定平衡点的能力。
The dynamical property of this model is described by dual differential equations and it can find out several stable equilibrium points from any initial point in the state space.
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.
借助于变量代换，求解几类线性微分方程，并得到了几个求解的充分必要条件。
With variable substitution, several kinds of linear differential equations are solved and several sufficient and necessary conditions are obtained.
获得了一类带有连续和分段常数变元的中立型微分方程所有解振动的新的充分条件。
The new sufficient conditions for the oscillation of all solutions of the neutral differential equation with continuous and piecewise constant arguments are obtained.
获得了一类带有连续和分段常数变元的中立型微分方程所有解振动的新的充分条件。
The new sufficient conditions for the oscillation of all solutions of the neutral differential equation with continuous and piecewise constant arguments are obtained.
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