how to plot euler angles for each t from an ode45 solved set of 6 odes in matlab

Assuming the set of 6 ODEs are related to Euler angles and their derivatives, and the output of ode45 is a set of time-dependent Euler angle values, we can plot these values as follows:

1. Let t be the time vector output by ode45.
2. Let y be the solution matrix output by ode45, where each row represents the values of the Euler angles and their derivatives at a given time t.
3. Extract the individual Euler angles from y using indexing. For example, if y(:,1) represents the first column of y, then it represents the values of the first Euler angle at each time step. Similarly, y(:,2) and y(:,3) represent the second and third Euler angles, respectively.
4. Plot the Euler angles as a function of time using the plot function in Matlab. For example:

main.m
% Extract Euler angles from y
phi = y(:,1); % First Euler angle
theta = y(:,2); % Second Euler angle
psi = y(:,3); % Third Euler angle

% Plot Euler angles
figure()
subplot(3,1,1)
plot(t, phi)
ylabel('Phi (rad)')
subplot(3,1,2)
plot(t, theta)
ylabel('Theta (rad)')
subplot(3,1,3)
plot(t, psi)
xlabel('Time (s)')
ylabel('Psi (rad)')
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This code will create a 3x1 subplot, where each subplot represents a different Euler angle plotted as a function of time. The subplot function allows us to stack multiple plots on top of each other. The xlabel and ylabel functions provide axis labels for the plots.