For the equations course, I was given a set of unpublished lectures that emphasized existence proofs and uniqueness of solutions to differential equations.

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。

youdao

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.

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。

youdao

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.

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。

youdao

This is a calculus-based class and I expect everyone to know at least the rudiments of differential calculus.

这门课需要微积分的数学基础,我觉得每个人至少应该知道,一些微积分的基础知识

耶鲁公开课 - 基础物理课程节选

But instead in this chemistry course, I will just tell you the solutions to differential equations. And what we can do is we can start with some initial value of r, and here I write r being ten angstroms. That's a good approximation when we're talking about atoms because that's about the size of and atom.

但在这个课里，我会直接，告诉你们微分方程的解,我们可以给距离r一个初始值,我这里把r取10埃,当我们讨论原子时,这是一个很好的近似,因为原子的尺寸。

麻省理工公开课 - 化学原理课程节选

And while I have long since forgotten how to solve a differential equation, I did learn how to drink responsibly (no tequila shots on an empty stomach).

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But I see now, as I'm accelerating out of a shallow banked turn around 120 mph and I feel the torque-vectoring differential sorting itself out, that I've misjudged the car.

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The differential there in money spent was, I think, eye opening.

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