Solve First Order Ordinary Differential Equation in MATLAB using ode45

In this video, we will learn how to use ode45 command in MATLAB to solve a differential equation. We show a simple example to demonstrate the solution. At the end, we plot the results to show the solution using ode45 command.
In ode45, the number 45 refers to the runge-kutta (4,5) numerical method.

[@MidwestSirenProductions]

Short and to the point; I learned more here than in my control systems lab this week. Thank you very much!

[@farazahmed7146]

Excellent lecture Sir! Thanks with the core of ❤️💜

[@AJ-et3vf]

Awesome video sir! Thank you!

[@umarbashir7196]

Thank you for the knowledge sharing. I learned a lot from video

[@bigm9676]

very good video, thank you

[@ObitodellaLL]

Thanks for your video :D

[@arialcad]

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.

[@eirelavavedecc]

Thank you very much

[@ziaurrahman4369]

Very nicely explained sir

[@Nino11420]

Are there any different question example of this?

[@zerotoinfinity8734]

Thanks.

[@aajamerepyar4586]

how can we plot y' vs y or y' vs x. Kindly reply.

[@erwineratsima3554]

I'm beginner, I tried copy ur code and applying but i have problems of script and it's not working. Your advice

[@sauravkumarsingha5991]

why you didn't create different function file

[@fatmazohrachamma4933]

Can u please give us an example of 4th order differential equation

[@rafiulshihab7408]

Do you mean how to solve a fourth order differential equation in MATLAB? I am planning to do a video on higher order differential equation. Thank you for your comment.

[@muhammadazharkhokhar4346]

Sir you are very interesting...from Pakistan

[@longtolaAviator]

How to solve system of equation which has three variable ?

[@nagi2222]

help me. can you show me how to do differential equation of order 1,2,3 without given equation?

[@rafiulshihab7408]

Can you be a little more specific please? If it's a generic multi order differential equation without any initial condition given, then you will be able to solve it analytically with Ansatz method. You can also use the Matlab symbolic toolbox to solve it analytically.

[@satyamtaware1700]

Sir can you help me to solve 2nd order differential equation. Make a video on it

[@rushabhdalal6072]

How to find parameters a and b such that the sum of quadratic errors e=sum_i((ym_i-y(tm_i))^2) between measurements ym and model output y is minimal using optimizers such as fminunc and ODE. The model reads xt=[0 1; a b]*x; y=x; tm ym 0 1.0000 0.5000 0.6482 1.0000 -0.1047 1.5000 -0.6897

[@Muasir_Thoughts]

Can you help me in my problem, i can pay you for your kind service