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. > >