Plotting multiple functions in the same graph

I want to plot two different functions in a same graph for different values of a parameter.

I tried the following code:

clc
clear all
syms y
t=[1 5];
for i=1:length(t)
    U=exp(-y)*sin(t(i));
    fplot(U,y,[0,5]); hold on;
    U1=exp(-y)*cos(t(i));
        fplot(U1,y,[0,5]); hold on;
end

Is that alright?

Answer 1

[Walter Roberson]

syms y
t=[1 5];
for i=1:length(t)
    U=exp(-y)*sin(t(i));
    fplot(U,[0,5]); hold on;
    U1=exp(-y)*cos(t(i));
    fplot(U1,[0,5]);
end
hold off

Or you could

syms y
t=[1 5];
for i=1:length(t)
    U=exp(-y)*sin(t(i));
    U1=exp(-y)*cos(t(i));
    fplot([U,U1],[0,5]);
    hold on
end
hold off

[Moslem Uddin]

Seems to be the second one is incorrect; also I am getting expected plot with my proposed code.

[Moslem Uddin]

For unequal interval how I can rewrite the second code? For example, say I want to plot first function from [0 2] and second function from [2 5]. @walter Roberson.

[Walter Roberson]

syms y
t=[1 5];
for i=1:length(t)
  U=exp(-y)*sin(t(i));
  fplot(U,[0,2]); hold on;
  U1=exp(-y)*cos(t(i));
  fplot(U1,[2,5]);
end
hold off

[Moslem Uddin]

Is there any other way performing this plotting without using for loop? For loop seems to reducing Matlab's performance. @walter roberson

[Walter Roberson]

If your t is fixed length, you can "unroll the loop", just putting all of the instructions in a row:

  syms y
  t=[1 5];

  U=exp(-y)*sin(t(1));
  fplot(U,[0,2]); hold on;
  U1=exp(-y)*cos(t(1));
  fplot(U1,[2,5]);
  
  U=exp(-y)*sin(t(2));
  fplot(U,[0,2]);
  U1=exp(-y)*cos(t(2));
  fplot(U1,[2,5]);

  hold off

I think you will find that the for loop was contributing negligible time compared to the time required to do the fplot().