How can I make these equations into 6 first order equations to input them in MATLAB as :
function yp = ivpsys_fun_oscillator(t, y)
% IVPSYS_FUN evaluates the right-hand-side of the ODE's.
% Inputs are current time and current values of y. Outputs are
values of y'.
% Call format: yp = ivpsys_fun_oscillator(t, y)
global m k l
%% Define ODE for IVP
% Reduce high order derivative to first order
% y1 -> x1, y2 -> x2, y3 -> x3
% y4 -> z1, y5 -> z2, y6 -> z3
% y7 -> u1, y8 -> u2, y9 -> u3
% y10 -> w1, y11 -> w2, y12 -> w3
yp(1) = y(7);
yp(2) = y(8);
yp(3) = y(9);
yp(4) = y(10);
yp(5) = y(11);
yp(6) = y(12);
yp(7) = (k/m) * ( (y(2)-y(1)) + (y(3)-y(1)) );
yp(8) = (k/m) * ( (y(1)-y(2)) + (y(3)-y(2)) - 3*l/2);
yp(9) = (k/m) * ( (y(1)-y(3)) + (y(2)-y(3)) + 3*l/2);
yp(10) = (k/m) * ( (y(5)-y(4)) + (y(6)-y(4)) + sqrt(3)*l );
yp(11) = (k/m) * ( (y(4)-y(5)) + (y(6)-y(5)) - sqrt(3)*l/2);
yp(12) = (k/m) * ( (y(4)-y(6)) + (y(5)-y(6)) - sqrt(3)*l/2);
end
This is probably wrong but it is as far as I got, thank you
How can I make these equations into 6 first order equations to input them in MATLAB...
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