It's a differential equation.

这是个微分方程。

So we have a differential equation.

得到一个微分方程。

We've we've written a differential equation here.

我们已经写出了一个微分方程。

What would a solution be to this differential equation?

这个微分方程的，解法是什么呢？

Newton's second law can be expressed as a differential equation.

牛顿第二定律可表达成微分方程。

The Ordinary differential equation is the language of the nature.

常微分方程是大自然的语言。

For example, the solution of a differential equation is a function.

例如，这个解决方案的微分方程是一个功能。

It is a partial differential equation satisfied by the electric field e.

这是一个，由电场e确定的偏微分方程。

So you can write down immediately the solution to this differential equation.

因此可以马上写下，这个微分方程的，解法。

This example demonstrates the use of lsode, an ordinary differential equation solver.

这个例子展示了lsode的用法，这是一个常见的微分方程解算器。

This is the full differential equation for the full mechanism. Not just one part of it.

这是整个机理的完整的微分方程，不是它的一部分。

Partial differential equation is widely used in problems of science and engineering.

偏微分方程在科学和工程上有着广泛的应用。

The research of delay differential equation is very important in theory and in practice.

这篇文章的主要目的是研究时滞对种群生长的作用。

At last, an application of this problem in partial differential equation is also discussed.

最后，给出了上述问题在偏微分方程方面的一个应用。

Uncertain differential equation is a type of differential equation driven by canonical process.

不确定微分方程是由标准过程驱动的一类微分方程。

Basically, to every problem you might want to consider there is a partial differential equation to solve.

总的来讲，所有你想解决的问题，都可以用偏微分方程来做。

Namely, this is still a pretty straightforward differential equation. So let's just integrate both sides.

这是一个非常，简单的微分方程，两边积分。

And just to tell you again that is a strange partial differential equation relating these two vector fields.

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。

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。

It satisfies the differential equation, the boundary conditions of the edges and the free corner conditions.

它满足微分方程，自由边界的条件以及自由角点条件。

By making use of heat balance of finite elements in variable domain, a differential equation of control has been derived.

利用有限元的受热平衡，推导出可变域中发汗控制微分方程序。

In this approach we have the freedom in the choice of step size during the integration of the ordinary differential equation.

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 paper, the numerical solution of differential equation is employed to establish the forecasting model of the time series.

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。

A nonlinear partial differential equation model based on nonlocal information was proposed to remove noise and preserve the edges.

针对传统扩散模型中的边界模糊问题，提出一种基于非局部信息的非线性偏微分方程去噪模型。

Therefore, the research on backward stochastic differential equation is of considerable theoretical significance and practical value.

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。

In this paper a new method of modeling forecasting is given for the time series by using the numerical solution of differential equation.

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。

The ordinary differential equation singular boundary value problem is one of the most important branches of ordinary differential equations.

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 stiffness problem of differential equation set has been solved and a kinetic model of simultaneous pyrolysis reaction has been proposed.

解决了微分方程组的刚性问题，提出了混合裂解反应动力学模型。