MATLAB: ODE Solver with array value parameter

differential equationsMATLABode

I need to solve the following differential equations:
where x1 and x2 are the states of the system and y is the input of the system and it is represented by a 1002×1 vector. How is it possible to solve this system of differential equations?

Best Answer

Try this example: 
yv = randn(1002,1);                                                                             % Create ‘y’
tv = 0:numel(yv)-1;                                                                             % Create Corresponding Time Vector
Eqns = @(t,x,tv,yv) [x(2)-interp1(tv(:), yv(:), t);  -3*x(2)-2*x(1)+3*interp1(tv(:), yv(:), t)];
tspan = linspace(0, 10, 50);
ic = [0; 1];                                                                                    % Use The Correct Initial Conditions
[T, X] = ode45(@(t,x)Eqns(t,x,tv,yv), tspan, ic);
figure
plot(T, X)
grid
Provide your own vectors for ‘y’ (that I call ‘yv’ here) and the time vector (‘tv’ here) that corresponds to it.
Make other appropriate changes to reflect the actual values you intend to use.
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