Give Output of one ODE to the another ODE simultaneously
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I have the equations as follows
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/377616/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/377621/image.png)
What I have to do is integrate
and supply the output to
sumlatenously at each time step as
gets integrated and this must happen in a speciafic time inteval.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/377626/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/377631/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/377631/image.png)
Is there a way to do in code?
Eg - If
gets integrated from 0 to
witha a constant θ and at time
, the value of theta must be taken from intgrated
. This must happen simultaneously.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/377631/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/377646/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/377651/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/377626/image.png)
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Réponses (1)
Steven Lord
le 12 Oct 2020
Use the "Nonstiff Euler Equations" example on this documentation page as a model for your ODE function.
3 commentaires
Steven Lord
le 12 Oct 2020
You have a system of two differential equations. Solve them simultaneously just like that example solves three differential equations simultaneously.
Alan Stevens
le 12 Oct 2020
Your theta equation is independent of x, so you could integrate this separately (in fact, it has an analytical solution), then use the result in the x integration routine.
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