Matlab ode45 Tutorial Part 2B: Another 2D Example

Here is the second "subsection" of Part 2 of my tutorial series on Matlab's ode solver. This video strictly shows the equations being used, the process of putting the equations in a suitable state space format, and the programming in Matlab. If you're looking for an introduction to the general process, you can check out my first video (Part 1) or my second video (Part 2A). Remember that the rules here apply to any multidimensional system and to any of Matlab's numerical ode solvers.
Derivation Portion:
• Derivation for Problem...
I want to give my sincerest thanks to the legendary Professor Vincent Nguyen at the University of Maryland, College Park. Without his help, I would never be able to understand how to use Matlab's ode solver like I do today.

[@anthonyheak3479]

Great ode45 tutorial. Thanks for making the video!

[@srinivasanananth574]

Really a great video....systematic delivery following the same procedure in all videos by the author...those who had frequent hiccups in converting system equations into state space model...these videos (I mean the other videos too in this line by Samaritan) are the real helpline. By the way it will be better if the author explains about linearization of non linear equations...and this will make procedures to solving system equations (which are practically nonlinear) fully complete.

[@user-oh3kt7ki1l]

Great video, thank you so much for wonderful explanation, and generous details

[@maysamtorkamanzade2808]

It is perfect and helpful. Great thanks

[@Mrmofongo624]

did u do anything prior to those codes, b/c I tried all of your methods and I keep getting a function error. It says functions are not permitted in this context

[@srisankar2898]

I want to become a good programmer like you, give me some suggestions regarding that.

[@atanughosh4221]

Scholastic Samaritan , great videos, thanks. I am facing a prob. could you please help me with this ODE 45 code I have two fn "main.m" ( ODE declared here ) ; another "Main_t.m" function where ODE fn. is written. The problem is main prog. is calling Main_t fn and in the called fn , T is a variable which is defined as a matrix. I want to plot 4 different plots MAIN function main init=[1 2 1 3]; [x,y]=ode45(@Main_t,[1:0.01:9],init); hold on; plot(x,y(:,1),x,y(:,2),x,y(:,3)); end function dydx=Main_t(x,y ) dydx=zeros(4,1); T=linspace(1,4,4); for i=1:length(T):4 dydx(i) =T(i).*(x.^3-2 .*y)./x; end end

[@xaler529]

pozdro z imiru psycha nie siada nawet na mechanics 2 i control theory fundamentals pozdro