How to plot a function with different values

(M)/1+.5*exp(-k*M*t)*(M-2)

this is the funtuion I want to plot with diffrent M values M= [1,3,5]

clear all

M= 1;

k=0.1;

t=[0:24];

SS= (M)/1+.5*exp(-k*M*t)*(M-2);

plot(SS,'r-');

xlabel('Time IN [SEC]');

ylabel('S');

title('S vs Time')

legend('M1');

I only managed to plot it once with M1

how can I plot it it with 3 lines in one plot command ?

[Rik]

Have you read the documentation for plot? It contains examples of how you van plot multiple lines at the same time. Your label is also incorrect: you aren't actually plotting against time, you're plotting against the element index.

Answer 1

[TADA]

You can make M a column vector, then calculate S as a matrix

then if you plot it against t which is a row vector plot should treat each row of S as a separate series

M= [1;3;5];
k=0.1;
t=[0:24];

SS= (M)/1+.5*exp(-k*M*t).*(M-2);

plot(t, SS, '-');
legend(strcat('M', num2str(M)));

another approach would be to plot in a loop and use hold on:

for M = [1,3,5]
    SS = (M)/1+.5*exp(-k*M*t)*(M-2);
    plot(t, SS, '-', 'DisplayName', ['M' num2str(M)]);
    hold on;
end
hold off;
legend show;

[Ana Venerio]

Thank you so much, this was so helpful :)

[TADA]

Cheers!

Answer 2

[Pavel Osipov]

Is exp(-k*M*t)*(M-2) matrix multiplication? Or exp(-k*M*t)*(M-2) element by element?

If element by element:

clear all

M = [1;3;5];%3x1 double

k=0.1;

t=0:24;%1x25 double

Wrk=M.*t;%3x25 double

Wrk1=exp(-k*Wrk);%3x25 double

Wrk2=M+0.5*Wrk1;%3x25 double

M2=M-2;%3x1 double

MM2=repmat(M2,1,length(t));%3x25 double

SS= Wrk2.*MM2;%[%%3x25 double]x[%3x25 double] element by element

figure('color','w')

plot(t,SS(1,:),'r-',t,SS(2,:),'g-',t,SS(3,:),'b-');

grid on;

xlabel('Time IN [SEC]');

ylabel('S');

title('S vs Time')

legend('M1','M2','M1');

[Raz Omar]

Thnkas for the answer , I think it's not element by element as you said , you have used codes outside of my course , thanks for the new info

Answer 3

[Pavel Osipov]

If M2xWrk2 is matrix mult:

%MyAnswer1.m

%If M2xWrk2 is matrix mult

clear all

M = [1;3;5];%3x1 double

k=0.1;

t=0:24;%1x25 double

Wrk=M.*t;%3x25 double

Wrk1=exp(-k*Wrk);%3x25 double

Wrk2=M+0.5*Wrk1;%3x25 double

M2=M-2;%3x1 double

%If M2xWrk2 is matrix mult

MM2=M2';%3x25 double

% --------------------------------------------------------------------------------------------------------

%[%%1x3 * 3x25 ] double matrix product => "String x Column and Sum"

SS= MM2*Wrk2;

% --------------------------------------------------------------------------------------------------------

figure('color','w')

plot(t,SS,'b-','linewidth',2);

grid on;

xlabel('Time IN [SEC]');

ylabel('S');

title('S vs Time')

legend('M1');