Hi Nicholas,
The usage of function handle is wrong here. If you want it to be a function handle, you need to pass input to y. But, this is not passed.
The next issue is exponential is not written properly.
Here are few suggestions to the code that make it work:
x = (0:0.01:4);
y = exp(-0.4.*x).*cos(5.*x); % Need not have function handle and then directly exp (), no need of ^
plot(x,y,'--c')
% If you want use it with function handle itself, here is the way it can be done
x = (0:0.01:4);
y = @(x) (exp((-0.4.*x))).*cos(5.*x); % Place exponential properly
plot(x,y(x),'--c') % Pass x here
Hope this helps.
Regards,
Sriram