Re: Problem with DSolve
- To: mathgroup at smc.vnet.net
- Subject: [mg53559] Re: Problem with DSolve
- From: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>
- Date: Tue, 18 Jan 2005 05:07:59 -0500 (EST)
- Organization: Uni Leipzig
- References: <csaek2$oss$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi,
(DSolve[{(y'[x])^2 - x y'[x] + y[x] == 0, y[0] == y0}, y[x], x] //
FullSimplify[#, x > -4] &)
is a linear function in x ...
Regards
Jens
"Anand" <anand at phy.duke.edu> schrieb im Newsbeitrag
news:csaek2$oss$1 at smc.vnet.net...
> Consider this simple 1st order equation
>
> DSolve[(y'[x])^2 - x y'[x] + y[x] == 0, y[x], x]
>
> The generic solution should be y= c ( x - c)
> and in addition a singular solution of this equation is y = x2/4 .
>
> The solution Mathematica produces is different. At least I could not
> relate it to the above solutions. What am I missing?
> sincerely, -anand.
>
>