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。
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.
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.
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.
绝大多数非线性微分方程是不能用解析方法求解的。
The overwhelming majority of nonlinear differential equations are not soluble analytically.
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.
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.
我们假设在所考虑的微分方程中，系数函数为片段常函数。
The coefficient functions of the hyperbolic equations considered are assumed to be piecewise constant.
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.
二进制的理论，就微分方程而言，第一次在这本书里被对待。
The theory of binaries, in terms of differential equations, is treated for the first time in this book.
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.
利用这一公式建立了常微分方程初值问题的正交多项式拟合算法。
By using this formula, orthogonal polynomial fitting algorithm for initial value problems of ordinary differential equations is established.
本文利用微分方程的数值解法对时间序列建模预测作了新的尝试。
In this paper, the numerical solution of differential equation is employed to establish the forecasting model of the time series.
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.
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?
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.
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.
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.
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