Bender--Orszag have written a nice book of this type: Advanced Mathematical Methods for Scientists and Engineers I, Asymptotic methods and perturbation theory, Springer, (1999)
The key point here was determining why a linear ODE is linear, and you did so with a generic example. I think using the idea of linear operators would've been more insightful here, or just a reference to the fact that differentiation/multiplying by x is in fact linear, and so the combination is.
There were two diff eq classes in our uni, and Wronskians I don't think were never covered in the math version which is the one I took. The math version was all linear algebra starting week 2. I still don't know what they are but the one time I saw them they looked like nightmares to compute and just unnecessary lmao.
i want to point out that your print font size is excessively TINY .... you have a huge blank screen and a few sentences or equations in tiny size .... its irritating to some viewers to see such frugal miserly use of the available screen
Not me
wonderful video, studying ODE and linear algebra as an undergrad so seeing these connections always makes the learning process seem more purposeful.
Glad it was helpful!
Do you have any suggestions for books connect linear algebra and the theory of differential equations in an integrating fashion?
Bender--Orszag have written a nice book of this type: Advanced Mathematical Methods for Scientists and Engineers I, Asymptotic methods and perturbation theory, Springer, (1999)
At 4:40, should that '
The domain for m is not precised, but it makes sense for it to be N
My senior-level Quantum Mechanics course made the connection between Differential Equations and Linear Algebra.
Prof. George Gaspari, UC Santa Cruz
Where's part II? What playlist is this from??
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This was perfect, thanks for making this video 👍
This is an amazing video!
The key point here was determining why a linear ODE is linear, and you did so with a generic example. I think using the idea of linear operators would've been more insightful here, or just a reference to the fact that differentiation/multiplying by x is in fact linear, and so the combination is.
Where's the second video?
In development, apologies for the delay :)
Great video bro, thank you :)
Thanks for watching :)
Great Job.But Part 1 of 2. Part 1 ok and Part 2? Would be nice to have, cause you made a lot of Videos 🙂
There were two diff eq classes in our uni, and Wronskians I don't think were never covered in the math version which is the one I took. The math version was all linear algebra starting week 2. I still don't know what they are but the one time I saw them they looked like nightmares to compute and just unnecessary lmao.
How do we exactly show that the two solutions SPAN the vector space of solutions?
Dimension considerations.
Wow. I‘m studing modern control theory. Just happen to see this video in reddit… thanks
Awesome!
Where is second video ?
In production, sorry for the delay :)
Great Job
Thanks for the kind words 🙏
Lovely music, but it competes for attention, and is distracting.
Thanks
No problem
i want to point out that your print font size is excessively TINY .... you have a huge blank screen and a few sentences or equations in tiny size .... its irritating to some viewers to see such frugal miserly use of the available screen
Never heard of her
👏👏