MATLAB tutorial - Solving Second 2nd Order Differential Equation using ODE45

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[jbbudish]

Thanks for your video! It helped me solve a problem that I had been banging my head on for the past 48 hours. Thanks man!

[cottonandcalculus]

This is a lifesaver.  Thanks so much for posting this.  I have a test tomorrow over equation solving in matlab, and your tutorial explained it perfectly.

[gavindundee]

Thank you for your help! The matlab documentation is not helpful for this subject, but you were able to make it crystal clear. I appreciate you.

[irenejohnson]

Thank you! You saved me from wasting so much time on a silly mistake.

[charltoncheng]

Can we plot the acceleration for this particular problem?

[viji]

I have tried your exmaples, but I got error message like this,

Error using feval
Undefined function 'myode45function' for input arguments of
type 'double'.

Error in odearguments (line 88)
f0 = feval(ode, t0, y0, args{:});   % ODE15I sets args{1} to
yp0.

Error in ode45 (line 114)
[neq, tspan, ntspan, next, t0, tfinal, tdir, y0, f0, odeArgs,
odeFcn, ...

[qasimmughal]

How does it work? does ode45 automatically update initial conditions after it is first called, during a time span?

[stressedbyamountainofbooks]

How do you do this if the known value for ydot is when t=10, this is not initial value

[jclaret]

hello, Your code worked perfectly, i tried to compare the numerical solution vs the symbolic solution of the ode with the command 'dsolve' and i ploted the resulting function. 
However, the plot obtained is different to the previous y_position plot.. How can you explain this? 
Is it the numerical method very approximated? the ode function doesn't seem very complicated.. 

THANKS :)

(i hope it's not a silly question it's been a while since i took ode's classes)

[writingvampires]

Why do you use y(2) in myoutput in function code? 
And how did you know you should plot y(:, 1)? 
I'm sorry if it's a stupid question but I'm struggling with MATLAB. 

[sharvinbaskaran]

if one of the variables in your equation is a varying dependent parameter, how do you solve it?

[engrirfanmahmood]

Why the velocity is going below zero in graph?

[christosd]

What if the initial conditions were y'(1)=12 and y(0)=21?CAN YOU USE THE ODE 45 THEN?

[christosd]

DOES ANYBODY KNOW what would you do if you had the same equation but instead of y'(0)=12 you had y'(1)=12 and y(0)=21 same. How would you code the initial conditions so matlab undertands that first condition(y(0)=21)is for x=0 and second condition which is for the y dot(y'(1)=12) is for x=1????

[KhoaNgo]

Would you please show me how to plot the y double dot, the acceleration ??? Thanks in advance

[razirehman]

How to use MATLAB to first convert the linear differential equation of order 5 to a system of first-order differential equations & then solve for potential solutions using MATLAB
𝑦(5) − 𝑦(4) + 5𝑦(3) + 2𝑦(2) + 𝑦(1) − 3𝑦 = 0

[santiagoguzman]

this really saved my ass man. thank you very much.

[chinmoybaruah]

Is it possible to obtain unit step response in this method?

[Jimmy-fytb]

I write exactly the same code as you and mine doesnt work...

[vincint]

what if the input is not zero like a t*sin(t) ??