How do I solve two different differential equations at the same time?

I have a problem where I have to find the ideal rotation of a drum given many parameters. The solution has boiled down to too different ODEs.

where Fd_x is a 100x1 matrix and where Fd_y is also a 100x1 matrix. How would I go about solving this? Would I use ODE45?

Thank you for your help.

Answer 1

[Mathieu NOE]

hello

to do simple integration, you could start with cumtrapz to get the velocity data (from the force inputs)

the time vector is the same for both equations

[Nicholas Carreon]

I just realized that I forgot half of the equations so my bad. Would a simple integration still work if the other two equations are and

[Mathieu NOE]

sure, it's the same process with cumtrapz to integrate the velocity to get the displacement

[Nicholas Carreon]

I used it and it gave me a graph but i'm not sure its correct because each value in the matrix is a different independent velocity.

[Mathieu NOE]

hello

can you share the code + data ?