what are G_1 and G_0 in solns to diff eqts?
07-12-2017, 02:54 AM
Post: #1
 webmasterpdx Senior Member Posts: 541 Joined: Sep 2015
what are G_1 and G_0 in solns to diff eqts?
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
07-12-2017, 05:41 AM
Post: #2
 parisse Senior Member Posts: 1,243 Joined: Dec 2013
RE: what are G_1 and G_0 in solns to diff eqts?
They are the arbitrary constants that occur when solving the ODE.
07-12-2017, 07:14 AM
Post: #3
 webmasterpdx Senior Member Posts: 541 Joined: Sep 2015
RE: what are G_1 and G_0 in solns to diff eqts?
Thanks Parisse.....that's what I thought, but wasn't sure.
Thx
-Donald
07-15-2017, 08:31 PM
Post: #4
 Tim Wessman Senior Member Posts: 2,284 Joined: Dec 2013
RE: what are G_1 and G_0 in solns to diff eqts?
They are not G0, G1 and so on since those are the reserve graphic object variables. G0 specifically is the live screen buffer.

TW

Although I work for HP, the views and opinions I post here are my own.
04-08-2018, 01:57 PM
Post: #5
 DrD Senior Member Posts: 1,133 Joined: Feb 2014
RE: what are G_1 and G_0 in solns to diff eqts?
(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))
result: G_0*sqrt(x^2+1)
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