Not sure if this is the correct place to post this question. I am trying to figure out if any of the TI CAS calcs (nspire, 89 etc) have the ability to solve *system* of 1st order linear ODEs natively.

Here's a link (http://www.wolframalpha.com/input/?i=y%27%3Dy%2Bz%2Cz%27%3Dy-z%2C+y%280%29%3D3%2Cz%280%29%3D%E2%88%9A%282%29-3) of an example. Thanks.

Thanks.

Looking through those, it seems like you can manually solve them but there is no single step solution to solve a system with a single desolve for example.

I don't think there's a native function to solve systems of ODEs. I did find an example of 'solving' a system. It uses some substitutions:  http://www.univers-ti-nspire.fr/files/pdf/TI-Nspire_chap10_qs.pdf