what are G_1 and G_0 in solns to diff eqts?
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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 Messages In This Thread what are G_1 and G_0 in solns to diff eqts? - webmasterpdx - 07-12-2017, 02:54 AM RE: what are G_1 and G_0 in solns to diff eqts? - parisse - 07-12-2017, 05:41 AM RE: what are G_1 and G_0 in solns to diff eqts? - DrD - 04-08-2018 01:57 PM RE: what are G_1 and G_0 in solns to diff eqts? - webmasterpdx - 07-12-2017, 07:14 AM RE: what are G_1 and G_0 in solns to diff eqts? - Tim Wessman - 07-15-2017, 08:31 PM

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