![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/490100/image.jpeg)
Non-Linear Coupled First-Order ODEs (with multiple derivative terms in each equation).
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Sattik Basu
il 15 Gen 2021
Commentato: Sattik Basu
il 16 Gen 2021
I have looked extensively, and was not able to solve a system like this on Matlba. All this while, I have used Mathematica to solve this system of ODEs.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/489710/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/489715/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/489720/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/489725/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/489730/image.png)
G
-
-
= 0
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/489715/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/489740/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/489745/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/489750/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/489755/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/489760/image.png)
The inlet B.C.s can be m1,m2 and m3 (any numeric value). I want to solve this with ODE45 or a similar built in solver.
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Alan Stevens
il 16 Gen 2021
These ode's can be rearranged as follows:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/490100/image.jpeg)
As long as you know initial values for a, b and c, then given that you know everything else on the right-hand side of these equations, you can use ode45 to solve them.
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