# Output additional vectors from ode45

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Auwais Ahmed on 27 Nov 2021
Commented: Star Strider on 28 Nov 2021
I am calculating concentrations and radii at all the timesteps within the ode45 loop. What is the best way to output all that information?
##### 1 CommentShowHide None
Jan on 28 Nov 2021
As diagrams? In 2 or 3 D? As text files? As binary files?

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### Accepted Answer

Star Strider on 28 Nov 2021
Adding additional outputs is permitted, providing that they are not used in the ode45 call. Normally, this is not a problem, because unless more outputs are requested in the calling script or function, only the first output is used.
The only way to recover them is to use the returned independent variable (usually time) vector and the solved dependent variables in a for loop and save the other desired output at each step of the loop.
tspan = [0 10];
ic = [0.1; -0.1];
[t,y] = ode45(@odefcn, tspan, ic);
for k = 1:numel(t)
[~,radii(k,:)] = odefcn(t(k),y(k,:));
end
figure
yyaxis left
plot(t,y)
ylabel('y(t)')
yyaxis right
plot(t, radii)
ylabel('Radius')
grid
function [dy,radius] = odefcn(t,y)
dy = zeros(2,1);
radius = hypot(y(1),y(2));
dy(1) = y(1);
dy(2) = radius * cos(y(1)) * sin(y(2));
end
.
##### 2 CommentsShowHide 1 older comment
Star Strider on 28 Nov 2021
As always, my pleasure!
.

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### More Answers (1)

Auwais Ahmed on 28 Nov 2021
I am caluculating a value for a parameter eg radius at each time step in ode45. At the end I want to output all radius at all time t
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Auwais Ahmed on 28 Nov 2021
In other words I just want to add an additional output argument in addition to the default y and t

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R2020a

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