deTaylor
05-22-2015, 06:10 PM (This post was last modified: 05-22-2015 06:10 PM by salvomic.)
Post: #2
 salvomic Senior Member Posts: 1,396 Joined: Jan 2015
RE: deTaylor
thank you!

please help to control with an differential equation still not solvable in Prime (but now ok in XCas):
y'=(x+y)^2
Is it correct to input
deTaylor((x+y)^2, [x,y], [0,0], 7) ?

I get (17/315)x^7+(2/15)x^5+(β)x^3
The general solution of equation (XCas) is TAN(x-c)-x
With Taylor I've taylor(TAN(x)-x), x, 6) = (β)x^3+(2/15)x^5+x^7+o(x)
It should be ok, isn't it?

Salvo

β«aLβ0mic (IT9CLU) :: HP Prime 50g 41CX 71b 42s 39s 35s 12C 15C - DM42, DM41X - WP34s Prime Soft. Lib
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 Messages In This Thread deTaylor - fhub - 05-22-2015, 01:24 PM RE: deTaylor - salvomic - 05-22-2015 06:10 PM RE: deTaylor - fhub - 05-22-2015, 08:27 PM RE: deTaylor - salvomic - 05-22-2015, 08:31 PM RE: deTaylor - fhub - 05-22-2015, 09:44 PM RE: deTaylor - salvomic - 05-22-2015, 10:13 PM

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