what are G_1 and G_0 in solns to diff eqts? - Printable Version +- HP Forums ( https://www.hpmuseum.org/forum)+-- Forum: HP Calculators (and very old HP Computers) ( /forum-3.html)+--- Forum: HP Prime ( /forum-5.html)+--- Thread: what are G_1 and G_0 in solns to diff eqts? ( /thread-8676.html) |

what are G_1 and G_0 in solns to diff eqts? - webmasterpdx - 07-12-2017 02:54 AM
If you try to get the airy equation or: desolve(y''-xy=0,y) for example, you'll get a solution that has G_1 and G_0 in the answer. Are these intended to indicate "some constant"? Thanks in advance -Donald RE: what are G_1 and G_0 in solns to diff eqts? - parisse - 07-12-2017 05:41 AM
They are the arbitrary constants that occur when solving the ODE. RE: what are G_1 and G_0 in solns to diff eqts? - webmasterpdx - 07-12-2017 07:14 AM
Thanks Parisse.....that's what I thought, but wasn't sure. Thx -Donald RE: what are G_1 and G_0 in solns to diff eqts? - Tim Wessman - 07-15-2017 08:31 PM
They are not G0, G1 and so on since those are the reserve graphic object variables. G0 specifically is the live screen buffer. RE: what are G_1 and G_0 in solns to diff eqts? - DrD - 04-08-2018 01:57 PM
(07-12-2017 05:41 AM)parisse Wrote: They are the arbitrary constants that occur when solving the ODE. I'm coming to the party a little late on this one, but my resources all use c, or c1, or c2, etc., for the arbitrary constant. G_0 is visually confusing compared to what I normally encounter. Did you feel that G_0, was less likely to already be used than c, which might have already been used in a program, for example? Here is an example: (simplify set to 'none') Code: `desolve((y') = (x*y/(x^2+1)),y)` result: (G_0*x^2+G_0)/(sqrt(x^2+1)) Simplifying makes it a little clearer, but G-0 versus c, makes it less so, (to me, anyway). Code: `simplify(desolve((y') = (x*y/(x^2+1)),y))` |