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

准确地讲是非线性偏微方程。

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

我发现我不太擅长几何，但我擅长微方程。

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，你必须学习微一，微，微三，微方程，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，解偏微方程。

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

许多学习微方程的学生可能会喜欢思考如何解决这个问。

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

这里我有一个函数来描述这个微方程。

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

所以你只是显式地解描述电路元件的微方程。

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解的微方程。

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解三维偏微方程展开。

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

所以，对于微方程来说，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方程。

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

方程（4）是一个阶常微方程，不方便直接解。

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解三维偏微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.

因此我们发现，对于满足这个奇怪的微方程的路径，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方程。

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

所以我们实际上可以将每个元素简化为一个微方程。

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

他们推导并解了填充条件下管道变形的微方程。

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

我看了你列出的微方程，我认为不可能有解析解，只能有数值解。

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

此外，还析了常微方程参数对隧道纵向变形的影响。