Numerical Solution of 3rd order nonlinear differential equation

This is a excerise that was given. Completely new to matlab, and dont know how to put this in a matrix form?

Answer 1

[Steven Lord]

See this documentation page and this other documentation page for the techniques you'll need to use to solve this assignment. If you're completely new to MATLAB and what's written on those pages doesn't make sense, you may want to take the free MATLAB Onramp tutorial first.

[Hodan Gesod]

Thanks for the refferal. Come in handy :)

Answer 2

[Hodan Gesod]

Hey- to Dariva, kind of deleted the wrong comment. What was the mistake I made in the code I'd written?

y0 = [10; 10; 10]; %initial conditions
h= 0.0001;      %sampling time
t0=0;           %start time
tfinal= 20;     %final time
function dydt = f(t,y)
dydt = [    (10*y(2)-10*y(1))
   (28*y(1)-y(3)-y(2))
   (y(1)*y(2)-(8/3)*y(3)) ];
function yout = ode1(f,t0,h,tfinal,y0);
y=y(0);
yout=y;
for t=t0:h:tfinal-h
    s= f(t,y);  %slope
    y= y+h*s;   %euler step
    yout= [yout; y];
plot(t,y)

[darova]

Check your equations