Can't seem to get the functions to graph properlly

alpha = [-0.5 -1.2 -2.1]

beta = [8 5.3 2.5]

t = 0:0.5:5

e = 2.71828

y1 = (e.^(-((-.5).*t))).*sin(8.*t);

y2 = (e.^(-((alpha(2))).*t)).*sin(beta(2).*t);

y3 = (e.^(-((alpha(3))).*t)).*sin(beta(3).*t);

plot(t,y1)

hold on

plot(t,y2,'m','LineWidth',1)

hold on

plot(t,y3,'b','LineWidth',1)

xlabel('time [sec]')

ylabel('amplitude')

title('\sigma as a function of time')

legend('Case 1','Case 2', 'Case 3')

grid on

When I plot the equations it seems to ignore the sin function and gives me a single spike not sure where I went wrong.

Answer 1

[Kelly Kearney]

You've chosen a pretty coarse resolution for t. If you change it to something like

t = linspace(0,5,100);

do you get what you expect?