I have been trying to use the ODE15s built-in function of Matlab to solve the following system of equations:
$\frac{dy_{1}}{dt}=f_{1}\left(y_{1},y_{2}\right)$
$\frac{dy_{2}}{dt}=f_{2}\left(y_{1},y_{2}\right)$
where $y_1$ and $y_2$ are column vectors of size $(h,1)$, where $h$ is any integer. I tried several things but none worked. I would appreciate any ideas. I am beginning to think that this is impossible because the $y's$ are vectors rather than numbers.
Thanks!