(The chapter on non-linear partial differential equations, to be precise.)

准确地讲是非线性偏微分方程。

I discover that I'm not very good at geometry, but also that I excel in differential equations.

发现不太擅长几，擅长微分方程。

In this degree, you're gonna have to go through calculus one, calculus two, calculus three, differential equations, a lot of math.

在获取学位的过程中，你必须学习微积分一，微积分二，微积分三，微分方程，要学习大量的数学知识。

You know, it was the old quantum mechanics, solving partial differential equations.

你知道，这是旧的量子力学，偏微分方程。

Many differential equations students among you might enjoy thinking about how you solve this.

许多学习微分方程的学生可能会喜欢思考如决这个问题。

And so essentially I've got a function here to describe the differential equation.

这里有一个函数来述这个微分方程。

So you're just explicitly solving the differential equations that describe the circuit elements.

所以你只是显式地述电路元件的微分方程。

So it results in a lot of differential equations that need to be solved simultaneously.

因此，这导致了大量需要同时的微分方程。

So all of those things usually center on solving the three-dimensional partial differential equations.

因此，所有这些工作通常都围绕着三维偏微分方程展开。

So often with differential equations, it might be attracted to a single point.

所以，对于微分方程来说，它可能会被吸引到一个单一的点。

They're not into complex differential equations.

他们不擅长复杂的微分方程。

Equation (4) is a high-order ordinary differential equation, which is not convenient to solve directly.

方程（4）是一个高阶常微分方程，不方便直接。

So it matches or tries to imitate what applications do in solving that three-dimensional partial differential equation.

因此，它匹配或试图模仿应用程序在三维偏微分方程时所执行的操作。

So what we found is that the action is minimal for the path that satisfies this curious differential equation.

因此们发现，对于满足这个奇怪的微分方程的路径，作用量是最小的。

Then you see that the principle of least action works whenever this differential equation is satisfied.

然后你会发现，只要满足这个微分方程，最小作用原理就会起作用。

One differential equation for every synapse, dendrite, or neuron in your system.

系统中的每个突触、树突或神经元都有一个微分方程。

So we can actually reduce every element to one differential equation.

所以们实际上可以将每个元素简化为一个微分方程。

They derived and solved the differential equation of pipeline deformation under high-fill conditions.

他们推导并了高填充条件下管道变形的微分方程。

I saw the differential equations you listed, and I don't think an analytical solution is possible, only a numerical one.

看了你列出的微分方程，认为不可能有析，只能有数值。

In addition, the influence of ordinary differential equation parameters on tunnel longitudinal deformation was analyzed.

此外，还分析了常微分方程参数对隧道纵向变形的影响。