Numerically Solve Differential Equations in MATLAB |

[@sarah-tq5qh]

Keep going ⭐

[@vking4983]

This is a really helpful video. I tried rewriting keplers equations in 3 dimensions, which i thought would be an easy extension from what you did - 3 2nd order ODE's means 6 1st order ODE's with 6 initial conditions - but it was not easy. Why don't you consider the gravitational parameter, mu, in your example for keplers equation? I find when i add mu to your code, then the graph falls apart.

[@mohamed__sherif]

Great Video

[@LaplaceAcademy]

Thanks!

[@arpangarg6112]

Excellent

[@LaplaceAcademy]

I am glad that I could help you.

[@nauleshkumar8703]

short and handy videos, thanks

[@LaplaceAcademy]

You're welcome. I'm glad you liked it

[@AjayKumar-ul2dg]

it is showing Unrecognized function or variable 't' in my case.

[@pawejerzyna5674]

this video was put simply, thanks

[@LaplaceAcademy]

You're welcome.

[@Vlad.007]

last initial condition for Kepler equations that you provided is sqrt of a negative number so how does it work?

[@LaplaceAcademy]

The variable 'e' is always smaller than 1. So the initial condition is not going to be sqrt of a negative value.

[@hammaminadjima3813]

Hello. Thanks for the nice video. I would like to know how can we solve a boundary value problem. I mean if the initial condition is at the non-zero value of an independent variable.

[@LaplaceAcademy]

Hi. Thanks for your comment. Here's the link to another tutorial. I hope it helps you. kzbin.info/www/bejne/Zl6ZfXx6asyNnrM

[@PymGordonArthur]

Thanks for the upload.

[@LaplaceAcademy]

I'm glad I could help you 🏌️

[@tamannaahuja8640]

Thanks for the video but in my matlab it’s showing “execution of script ODEE45 as. a function is not supported. Please help

[@fabjulian7926]

insane, thank you so much!

[@LaplaceAcademy]

You're welcome

[@mathematics__07]

Sir please tell about cauchy problem

[@aajamerepyar4586]

how to plot y' vs y and y' vs x in the ode45

[@user-yz6ho8fx8j]

yeah nice video, but how do i get the actual equation for u and v? isn't that as well the actual solution of the differential equation?

[@LaplaceAcademy]

Not every differential equation has an analytical answer. But you can always try. Learn how to use dsolve command for the exact solution of ODEs. Here's the link: kzbin.info/www/bejne/opqxaHZve9hsm9k

[@faridnajafzadehasl6315]

Perfect

[@LaplaceAcademy]

Thanks mate

[@HadiB-mo4wy]

Nice accent ❤

[@LaplaceAcademy]

Love you mate ❤️👽🍒