Solving General High-Order, Linear Ordinary Differential Equations (ODEs) 

23:20 Maybe it's the Vandermonde matrix?

The matrix at 23:09 is a Vandermone matrix. en.wikipedia.org/wiki/Vandermonde_matrix

Wonderful recap ! (it's a Vandermonde matrix and it's invertible ;) )

Hmm, I thought characteristic polynomial only have roots in the algebraic closure of the original field. So, the solution might not necessarily lie in the original field. Is this correct?

I really appreciate your candor and humor when dealing with Wronskians 😂

different marker, exactly the same squeek :-D

you are writing from left hand?

Well I'll be jiggered! @ 10:31 hmmm... eigenvectors and eigenvalues Interesting! Plus on Michael Penn's channel there was an observation along lines of: if something, say wlog X a poly'l eqn, has a solution in m-space for m

Great Lecture, and thank you...😍😍.

Amazing how straightforward solving a higher order DE actually is, when I see a higher order DE it used to be a scary thing, thanks.

Just got your 2nd edition and it is a goldmine of information. Thank you for the book and all these videos to reinforce the key concepts!

But what intellectual prowess! After a few minuts, I can't follow the demo anymore. An then I just see colors, shapes and patterns and a kind of a beautiful music for my frenchy ears ...

Gauss-Jordan method? The idea being, I guess, to transform first the dense matrix in an equivalent upper triangular matrix or something like this.

I really appreciate your effort. Thanks.

Please consider using Σ

Cool ! Thanx so much! 😊

Great Explanation....!!!

What a great job! Thanks a lot for sharing

Vandermonde matrix