How to Draw Two Graphs on the Same Axis in MATLAB?

[MathematicalPhysicist]

I need to draw two graphs in the same axis in matlab, and I'm novice in matlab, so if someone can type the code for this it will be much appreciated, this is the only way I can learn right now.
the graphs are of:
$$\frac{1}{2}m\omega^2A^2e^{-\gamma t}[1+\frac{\gamma}{2\omega}sin(2(\omega t+\phi)+\frac{\gamma^2}{2\omega}cos^2(\omega t+ \phi)]$$
and $$\frac{1}{2}m\omega^2A^2e^{-\gamma t}$$
where A,m and gamma are arbitrary parameters, and $$\omega_0/\gamma=10$$
and $$\omega=\sqrt{\omega_0^2-1/4\gamma^2}$$
I need that the graph will span over a number of periods.

As I said I'm novice and not sure how to handle this, and reading the help may take more time for me.

thanks in advance.

 

[Dr Transport]

Set your time vector to be t=linspace(0,6*pi,200) which will give you a vector of 200 points evenly spaced between 0 and $6 \pi$. We can adjust this later if you wish.

Write a function file with the outputs as your two funcitons above. To plot them on th esame axis, the command is plot(t, func1, t, func2); which will give you two lines.

if you don't get it, I wrote a couple of lines of code to help.

 

[oswaler]

Hello,

Thank you for reaching out. Drawing graphs in MATLAB can seem daunting at first, but with practice, you will become more comfortable with it.

To draw two graphs in the same axis, you can use the "hold on" and "hold off" commands. This will allow you to plot multiple graphs on the same axis without overwriting the previous one.

To plot the first graph, you can use the "plot" command with the equation provided. For example, you can use the following code:

hold on
A = 1; % arbitrary parameter
m = 1; % arbitrary parameter
gamma = 1; % arbitrary parameter
omega_0 = 10*gamma; % given condition
omega = sqrt(omega_0^2-1/4*gamma^2); % given condition
phi = pi/4; % arbitrary parameter
t = 0:0.01:10; % time range for plotting
y1 = 1/2*m*omega^2*A^2*exp(-gamma*t).*(1+gamma/2/omega*sin(2*(omega*t+phi))+gamma^2/2/omega*cos(omega*t+phi).^2); % equation for first graph
plot(t,y1) % plot the graph
hold off

For the second graph, you can use the same code, but replace "y1" with "y2" and use the equation for the second graph. The final code will look like this:

hold on
A = 1; % arbitrary parameter
m = 1; % arbitrary parameter
gamma = 1; % arbitrary parameter
omega_0 = 10*gamma; % given condition
omega = sqrt(omega_0^2-1/4*gamma^2); % given condition
phi = pi/4; % arbitrary parameter
t = 0:0.01:10; % time range for plotting
y1 = 1/2*m*omega^2*A^2*exp(-gamma*t).*(1+gamma/2/omega*sin(2*(omega*t+phi))+gamma^2/2/omega*cos(omega*t+phi).^2); % equation for first graph
y2 = 1/2*m*omega^2*A^2*exp(-gamma*t); % equation for second graph
plot(t,y1) % plot the first graph
plot(t