[07x04] Intro to Differential Equations in Julia using DifferentialEquations.jl and Pluto.jl

[@leibaleibovich5806]

Greetings, I do not remember if I have already mentioned it, but the project 'Quantitative Economics with Julia' has referenced your series of tutorials for Julia amateurs along other 'official' resources on their web-site. Specifically, in Chapter '2 Introductory Examples'. You can be proud of your achievement.

[@doggodotjl]

I was not aware of that. Thanks for letting me know! Very cool!

[@anomaliespatiale6023]

"This is really amazing, right?" Yes, it is! What's also amazing is your ability to make a seemingly stark subject interesting, fascinating even. Are you a teacher in life? Well, you could be, if you wanted. Thank you again for this tutorial, looking forward to see where the next one takes us. Cheers!

[@doggodotjl]

Wow, that's a real compliment! Thanks! I'm not a real teacher, but I play one on KZbin!

[@rodolfosilva1797]

@@doggodotjl Yes dude. As an engineer, I can say that you are a good teacher. Even though it's an introduction, it's pretty cool the way you do it. I am recommending your videos to friends and colleagues. Thank you very much.

[@eliascarvalho8637]

I love your videos! I always share them with my friends.

[@doggodotjl]

Thank you for your support, Elias!

[@kristoferkrus]

Well, if you're describing how 2 things or more are changing with respect to something else (as opposed to how one thing is changing), you're still using an ODE. In order for it not to be an ODE, it needs to be a partial differential equation, or PDE, which means that you not only have time derivatives, but spatial derivatives. This requires that you don't just have a fixed number of discrete things, but a field of some kind that changes with time, which is what you have when you for example describe how waves propagate through a medium or how heat spreads through an object.

[@ugowar]

Thanks for all the great content!

[@doggodotjl]

You're welcome and thank you!

[@cescalan9]

De gran calidad sus videos, sus ideas creativas desarrolladas en el poderoso programa Julia. Gracias de nuevo. "Y" le plantea un reto que no es pequeño, pero que entiendo que C. Rackauckas y su equipo ya ha abordado: las ecuaciones diferenciales estocásticas o aleatorias. Gracias de nuevo.

[@doggodotjl]

¡Gracias por las palabras amables!

[@oumardiallo7292]

Really amazing !!! (as you said). Merci!!

[@doggodotjl]

De rien! This DifferentialEquations.jl package really is amazing!

[@user-wr4yl7tx3w]

An idea. Can you consider also Stochastics differential equations for future video.

[@doggodotjl]

Thanks for the suggestion! It is on my "to do" list, so I'll try my best to get a stochastic differential equations episode into this series.

[@major8625]

Damn doggo, great work

[@doggodotjl]

Thanks!

[@T3ddiizl3oyZ]

Thank you so much 🙏 you really helped me 😊😊😊

[@doggodotjl]

You're welcome! Glad it helped!

[@apoorvvyas52]

Please also solve second order boundary value problems too.

[@6PrettiestPics]

Please sir, may I have another?

[@MAYANKSHEKHAR-yj5st]

🙏🙏🙏🙏🙏🙏🙏🙏

[@DrunkenUFOPilot]

I find those sliders annoyingly short, making it impossible to set an exact number that should be reachable. In case anyone else wants to make the sliders longer, the trick is to enter this into a cell anywhere in the notebook: html""" input[type*="range"] { width: 400px; } """ Instead of 400px or some other value like that, you could put 100% for the longest sliders fitting a cell.

[@krakensesports2943]

Hi doggo. "Time to first plot" is a problem for you?

[@doggodotjl]

Yes. I edited the video so viewers wouldn't have to watch me wait.😁

[@krakensesports2943]

@@doggodotjl How we can solve it. I saw on julia forum many topics about this, but nothing interesting.

[@doggodotjl]

@@krakensesports2943 Unfortunately, I don't know a solution. I know the folks at Julia are working on it. Believe it or not, it's a lot better than it was when I first started using Julia.

[@krakensesports2943]

@@doggodotjl I hope the best for this language. Thanks for everything you do. You are awesome!