write a code that calculates the function x(t)=xo * e^cwt * cos(wd*t), and then plots this function in matlab

You can write a MATLAB code to calculate the function and plot it by following these steps:

Define the variables with appropriate values. Here's an example:


main.m
xo = 5;         % Initial amplitude
c = 0.2;        % Damping coefficient
w = 2*pi*60;    % Angular frequency
wd = w*sqrt(1-c^2);   % Damped frequency
t = linspace(0, 1, 1000);    % Time vector
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Calculate the function x(t) for the given values using the equation:


main.m
x = xo*exp(-c*w*t).*cos(wd*t);
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Plot the function using the plot function:


main.m
plot(t, x);
xlabel('Time (s)');
ylabel('Amplitude');
title('Damped Oscillation');
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Here's the complete code:


main.m
xo = 5;         % Initial amplitude
c = 0.2;        % Damping coefficient
w = 2*pi*60;    % Angular frequency
wd = w*sqrt(1-c^2);   % Damped frequency
t = linspace(0, 1, 1000);    % Time vector
x = xo*exp(-c*w*t).*cos(wd*t);   % Function calculation
plot(t, x);     % Plotting the function
xlabel('Time (s)');     % X-axis label
ylabel('Amplitude');    % Y-axis label
title('Damped Oscillation');   % Plot title
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