write a code that calculates the function x(t)=xo * e^c*w*t * cos(wd*t), with a time period of 0.01 seconds, to 2.5 seconds, and then plots this function in matlab in matlab

You can write a MATLAB code that calculates and plots the given function by following these steps:

  1. Define the parameters xo, c, w, and wd.

  2. Create a time vector t, from 0 to 2.5 seconds with a time period of 0.01 seconds, using the "0:dt:2.5" command, where dt is the time period.

  3. Calculate the function x(t) using the given equation.

  4. Plot the function using the "plot" command.

Here is an example code that implements the above steps:

main.m
% Define the parameters
xo = 1;
c = 0.1;
w = 2*pi*100;
wd = 2*pi*50;

% Create the time vector
dt = 0.01;
t = 0:dt:2.5;

% Calculate the function x(t)
x = xo * exp(c*w*t) .* cos(wd*t);

% Plot the function
plot(t, x);
xlabel('Time (s)');
ylabel('x(t)');
title('Function x(t)');
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This code will generate a plot of the function x(t) from 0 to 2.5 seconds with a time period of 0.01 seconds.

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