how to format an ode45 solver for 6 odes in matlab

ode45 solver in MATLAB can be used to solve a system of differential equations (ODEs) with initial conditions. Here's an example of how to use ode45 for a system of 6 ODEs:

main.m
% Define the ODEs
f = @(t, y) [y(2); 2*y(2) - 3*y(1) + 4*y(3); y(4); -y(3)*y(4); y(6); -y(6)];

% Set initial conditions
y0 = [1; 0; 0; 1; 0; 1];

% Define the time span
tspan = [0 10];

% Call the ode45 solver
[t, y] = ode45(f, tspan, y0);

% Plot the results
plot(t, y(:, 1), t, y(:, 3), t, y(:, 5));
legend('y_1', 'y_3', 'y_5');
xlabel('Time');
ylabel('y');
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Here, f represents the system of 6 ODEs in the form of a function that takes in time t and the state vector y, and returns the derivative of the state vector. y0 represents the initial conditions for the state vector. tspan represents the time span over which to integrate the ODEs. The ode45 solver returns the time vector t and the state vector y at each time step. Finally, we plot the solutions for the 1st, 3rd, and 5th ODEs against time.