Second Order Equations

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MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
View the complete course: ocw.mit.edu/RES...
Instructor: Gilbert Strang
For the oscillation equation with no damping and no forcing, all solutions share the same natural frequency.
License: Creative Commons BY-NC-SA
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Опубликовано:

21 окт 2024

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Комментарии : 24

@mihaidumitrescu1325 3 года назад

Dear Mr. Professor Strang, I do not express in words the deep and honest gratitude and appreciation I have for you for sharring this amazing content online. You are enabling really quality learning for many of us, that did not get the chance to study at MIT. Refreshing my capabalities of solving ODEs, that I forgot since finishing university, is so much more pleasurable with your lectures. Thank you, thank you, thank you!

@bd_harold7752 11 месяцев назад

Dr. Strang thank you so much for your contribution to all mathematics. You are the grand father of all mathematics.

@nadeemnazir295 6 лет назад

This is Gilbert's genius...the Legendary Mathematician... feeling comfortable to watch videos of"The Father of Linear Algebra"

@rafaelsouza4575 4 месяца назад

that's the best example, the simplest example, and the first example - Prof. G. Strang

@TheGamingg33k 4 года назад

These lectures are perfect for people who want to brush up on DEs and Linear algebra. Its quick and straight to the point, he even explains some of the things all the way to the last detail which is a good thing especially if you forget the basics.

@ankaparnahajova 4 года назад

Sir, you understand second order differential equations as I understand adding and subtracting between one and ten. Genius. Thank you.

@freegg123 Месяц назад

"Not the tomota ketchup guy...oh that is Heinz"

@ancient_living 5 лет назад

Thank you Professor. You're the best !

@andrewlee7307 8 лет назад

Not the ketchup guy lol

@jakefreakingwilcox 6 лет назад

"For frequency, probably"

@marktoffoli9186 2 года назад

What a fantastic lecture

@videofountain 7 лет назад

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-xCCeV-glFdM.htmlm59s link copied to clipboard regarding blackboard. Could the sounds of the shaking blackboard be analyzed by equations on the blackboard?

@hathuytu 3 года назад

how can you know there are 2 null solutions?

@Max-ww7iz 2 года назад

If im not mistaken its the degree of the equation. See it as the zeros of a polynomial where we know that the number of those is equal to the degree of the polynomial

@hailin2556 6 лет назад

Nice

@egyMag1990 8 лет назад

so why Newton's 2nd law is 2nd order differential equation if the law is dealing with matter which can't be described by cos and sin

@kstahmer4309 8 лет назад

The solution to F = ma depends on F and its two initial conditions. Using the video’s notation, ma - F = 0 → my’’ - F = 0 Professor Strang set F = -ky. This leads to a Hooke’s Law solution that’s a linear combination of a sine and cosine. Their coefficients are determined by y(0) and y’(0). Suppose he had set F = -mg (gravity near the Earth’s surface). Then: my’’ + mg = 0 y’’ = -g y = - (1/2)gt^2 + y’(0)t + y(0)

@mmmmmark9751 4 года назад

Everything which matters, including matter, can be represented by trig functions, which can be represented by series expansions as polynomials. Try to get away from the basic idea of trig functions only describing circles, triangles and oscillations.