Getting mutliple lines into a legend from a for loop that provides different values
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Below is my code, im trying to get each of the lines on the plot onto the legend but am unsure how to go about it? I know i can just type it out manually for each gamma value e.g legend('2\gamma = 0','2\gamma = 1','2\gamma = 3',) but i would like a method that automatically adjusts to any variations i may make to gamma
clear all
for gamma = [0,0.5,1.5]
% Parameters
k = 5; % constant
zeta = 2*gamma; %Damping Coefficient
x_initial = 0.1; %Initial Position
v_initial = 0; %Initial Velocity
dt = 0.0001; % Time Step
t_vector = 0:dt:10; % Time Vector
x(1) = x_initial; %Initial position
v(1) = v_initial; %Initial velocity
%for loop
for n= 1:length(t_vector)-1
xslope = v(n);
x(n+1) = x(n) + xslope*dt;
vslope = -zeta*v(n) -k*x(n);
v(n+1) = v(n) + vslope*dt;
end
%plotting the graph
a = -zeta*(-v) -k*(-x);
plot(t_vector,a)
hold on;
end
title("Damped Simple Oscillator");
xlabel("Time");
ylabel("Amplitude");
lgd = legend(sprintf("2\\gamma = %d", zeta));
title(lgd, "\zeta")
grid on;
hold off;
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