I want to plot a graph like this in Matlab. It would be a great help if someone can help me with the same by providing the code.

The function is

y(x,t) = ((c1*x )+ (c2*x^2)) * (0.08*x) * (sin((10.2*x)+(2*pi*i/8))) * (sin((10.2*x)-(2*pi*i/8)))

c1 = 0.08

c2 = 0

i = 1 to 7

[KSSV]

What have you attempted?

Answer 1

[Antonio Aguirre]

Hi,

So I tried the following below. Minus the LaTeX formatting, I think it's exactly what you need. Also, the function that you gave does not produce the necessary values to produce the example plot that you showed in your post. Any way, check out what I've done and maybe I've got a typo in the function. Don't forget to give me a "Thumbs Up" vote if this was helpful, thanks!

%% Start clean and clear
clc,clear,close all

%% Define constants
c1 = 0.08;
c2 = 0;
c3 = 10.2;

%% Define the function to plot, anonymous function
fcn = @(i,x,c1,c2,c3) ( (c1.*x) + (c2.*x.^2) ) .* ( c1.*x ) .* ( sin( (c3.*x) + (2*pi*i/8) ) ) .* ( sin( (c3.*x) - (2*pi*i/8) ) );

%% Define the domain of the function
x = 0:0.001:0.6;

%% Initialize the figure space
figure
hold on

%% Iterate to plot the function
for i = 1:7
   
    % Return the function response
    y = fcn( i, x, c1, c2, c3 );
    
    % Plot the function response
    plot( x, y, 'b' )
    
    % Add a data label to the line
    text( x(end)+0.005, y(end), sprintf('i = %d', i) )
    
end

%% Configure the plot aesthetics
grid on
xlim( [0,0.7] )
xlabel( 'x (m)' )
ylabel( 'y (m)' )
title( 'c1 = 0.08 c2 = 0' )

[Shawn Anto Thekkiniath]

thanks:)

[Antonio Aguirre]

Any time!

Answer 2

[Sudheer Bhimireddy]

Neglecting i=0, you will have 7 lines governed by that equation.

Have you tried it by using a simple loop for i = 1:7 ?

x  = 0:0.01:1;
for i = 1:7
    y(:,i) = %Your equation
end

Show us what you have tried and where you are facing a problem.