4. Second-Order Equations

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MIT 2.087 Engineering Mathematics: Linear Algebra and ODEs, Fall 2014
Instructor: Gilbert Strang

In this lecture, Prof. Strang explains second-order equations.

License: Creative Commons BY-NC-SA

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Professor Strang, once again thank you for a powerful lecture on Second-Order Equations in Linear Algebra and Differential Equations and their overall impact on bridges and other structures in the real world. Mathematics is a powerful tool in the world in which we live.

georgesadler

This is the Tacoma Narrows Bridge resonance the professor was talking about. It happened in 1940:
But recently May 2020, similar event occurred in Guangzhou, China(HuMeng Bridge):
I cannot found English subtitle video about it. The news says that the construction block putting on the bridge sidewalk has changed the bridge shape against the wind, therefore the driving vibration caused by wind resonance with the bridge natural frequency... Later, they removed those blocks on the sidewalk and the bridge vibration disappeared. Days after, after checking the bridge was not damaged, the bridge was reopened to the public traffic.

xsli

some great content! I like when DE and Linear Algebra merge together

didierliango

gilbert strang and walter lewin are my favorite!

danialdunson

Now, I understand the meaning of "null" solution.

hathuytu

I have a question, does anyone knows which book is the professor is talking about when he said about section 2.1 at the end of the video?

wtomas

Anybody kindly help me please? on 25:24, c2=y'(0)/omega. The unit confuses me: the unit of y'(0) is meter/sec and the unit of omega is radian/sec, therefore the division ends with unit of meter/radian??? The unit of c2 should be same as unit of c1, which is length.

xsli

hahaha, I love "null" so so much.

hathuytu

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