Systems of linear first-order odes | Lecture 39 | Differential Equations for Engineers

Matrix methods to solve a system of linear first-order differential equations.

[foldandfray]

I thought the squeaking was a rat in my wall and paused the video many times to go look 😂

[harrytaylor]

I like the way that you emphasise that we're using an assumption here- the anzatz that y=ve^At- that it isn't something obvious implied by the previous step. Sometimes that little fact gets skipped over along the way...

[garrettweil]

THANK YOU SO MUCH! Your's are the only videos I've found which explain this and work through an example in a way I can understand!

[sofiyavyshnya]

So clearly explained in under 10 minutes!! Amazing video! Thank you so much

[RefinerSimilitude]

This is essentially a summary and overview of three consecutive one and ahalf hour lectures in differential equations.

[moise]

You sound so much like my last HS math teacher. I fell in love with your courses before I even try to understand😍 😍

[bendustin]

I totally remember the linear algebra class that I never took.

[danieljensen]

Came trying to remember how to solve a system of ODEs, left wondering if this man is a wizard or if he's just the worlds foremost expert on writing backwards on the cleanest piece of glass in the universe

[TheWP]

Omg ’ansats’ is a swedish word. That’s so cool, english rarely lacks good words for things.

[vivekbajpai]

Thanks a lot sir ❤️ love from India ❣️

[AJ-etvf]

Thank you so much for this sir! Very helpful! Love revisiting my differential equations knowledge!

[GoldenTiger]

Can someone explain to me the term "on sots" that he uses? Just trying to understand more math terms and it's the first time I hear it being used.

[pawpatrol]

what do we do if there are varible coefficients for one of the ODEs? so like for instance if (x2)' = 0x1 +0x2 + 2x1/x2

[vickerszhu]

How that guy can write in a mirror symmetry way???

[kim]

The word ansatz is so funny, I thought my German professors made that up

[김민우-zj]

why do we try to substitute x(t) to ve^{lambda*t}?? Is it just trying one form of a solution? or is there any logical reason to do so?

[maxtian]

the scrachy noise made by marker pen writing on the glass scared the s**t out of me.... I thought there's sth going wrong with my laptop

[industrialdonut]

What can this be a physical model for?

[jasonthomas]

This man has a pink lid on a purple texture, and I'm confused.

[stanleyzhang]

thanks for ur teaching, but i have one question. how did u record this video, did u just write everything reversely?