How to Solve Coupled Differential Equations ODEs in Python

[IKMCDANIEL]

Vincent - you have real talent. You explained a tremendous amount of technical content in just 10min. Very well done and very helpful. Thank you so much for creating this content.

[ospectrum]

Thank you so much, I am currently working on a paper of population dynamics, and your video literally saved me a ton of time!

[rajanalexander]

Concise and useful; thank you!

I would just comment/say that we're assigning each _vector element_ to a _variable_ @ 3:03. The ODEs themselves are represented by the dXdt assignments.

[ammarshahzad]

Hello mate, I was searching R_2_score and found your channel. I saw your multi disciplinary videos and I am amazed by your content. You have mastery over alot of fields and have the gift of teaching. Subscribed instantly, hope you will gain the recognition you deserve.

[dotpio]

This was so helpful. Straightforward, straight to the point, and really easy to understand. Thank you Vincent!!

[chasefoxen]

Fantastic explanation, this helped me a ton with my numerical analysis homework. Straight to the point and clear!

[anandamoymukhopadhyay]

Vincent you have explained the code nicely within a short span of time. If the above system contains some arbitrary parameters, then please explain how to deal with it by the help of continuation method? Waiting for your reply.

[pineapple]

Thank you so much. Better than my professor by a mile!

[ibrahimaniakh]

JUST EXCELLENTLY EXPLAINED. EXCELLENT, EXCELLENT, EXCELLENT. I’m immediately subscribing bruh.

[joaocruz]

Thank you, Vicent! I was with difficult on working with more than one initial conditions and this video is really helpful.

[matts]

This video saved my life, thanks boss!!

[edholanda]

Professor how would I solve this system of first order edos numerically by plotting the graph for the different values ​​of (n). the derivatives are in relation to ha (r).








a'/r = -e^2*v^2*(g^2 - 1)



g' = - a*g/r







given the boundary conditions



a(0) = n a(inf)=0
g(0) = 0 g(inf)=1

o (n) varies from 1 to 8.







where (e)=0.5 and (v)=1 are constant. please give a helping hand there, I looked for and did not find any problems like this on the python website.



I'm from Brazil.

[yogeshwarthakare]

Hi, this was so useful. Would like to see more such videos on solving kinetic model using Python

[AtreyaSrivallabhVedantameeb]

Thank you for this video, it was extremely well explained. It was incredibly useful to me.

[schrodingergaming]

That's a very good solution in a small time frame! Great job!

[RanjibBanerjee]

Hi Vincent, thank you for such a nice video, it's extremely useful. I was wondering if you can make a video to calculate the Lyapunov exponents of coupled nonlinear ODEs.
Thank you

[hasatamashi]

Great video, great voice, really helpful

[animeshsinghal]

Thanks a lot. You got me started with this very quickly.

[raulfuerte]

Hi Vincent. This was an amazing demo of using python's IVP solver. For a school project I was wondering if you could make a video showing how to use python to solve BVPs with a combination of Neumann and Dirichlet boundary conditions.

[lonemeertens]

Hi Vincent, thank you for this video. I have a follow up question :) What if I have (in one of the equations) a parameter (instead of a constant) that is linked to a algebraic equation that itself is also dependend on this parameter. Can some one help me? Thanks!!