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Calculator Community => Other Calculators => Topic started by: timwessman on December 31, 2013, 11:37:42 am

Title: TI CAS question: System of linear ODE solving?
Post by: timwessman on December 31, 2013, 11:37:42 am

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 (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.

Title: Re: TI CAS question: System of linear ODE solving?
Post by: SpiroH on December 31, 2013, 01:34:04 pm

Quote from: timwessman on December 31, 2013, 11:37:42 am

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.

I think so. These two papers should give you a head start. Happy reading and happy new year! ;)
TI-89:(DIFFERENTIAL EQUATIONS with TI-89)
http://www.rowan.edu/open/depts/math/HASSEN/ODE/TI89_for_ODE.doc
TI-Nspire CAS: (Using TI-Nspire CAS Technology in Teaching Engineering Mathematics: ODE’s)
http://time2012.ut.ee/index_files/proceedings/present/P08paper.pdf

Title: Re: TI CAS question: System of linear ODE solving?
Post by: timwessman on December 31, 2013, 04:31:52 pm

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.

Title: Re: TI CAS question: System of linear ODE solving?
Post by: Jim Bauwens on December 31, 2013, 05:12:46 pm

I think you can by combining equations using the 'and' keyword to form a system.

Title: Re: TI CAS question: System of linear ODE solving?
Post by: ElementCoder on January 01, 2014, 10:55:46 am

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