Re: Problem with DSolve

*To*: mathgroup at smc.vnet.net*Subject*: [mg53525] Re: Problem with DSolve*From*: "Scout" <user at domain.com>*Date*: Sat, 15 Jan 2005 21:07:55 -0500 (EST)*References*: <csaek2$oss$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

from "Anand" > 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. > > Hi! Well, the solution of the diff. equation produced by Math. is Out[1] y[x]=-1/4 c (2x + c). Rename the constant c with another constant to get your own solution: %1 /. c-> -2 b and finally: y[x]= b (x-b). The Cs constants in the diff. solutions are "arbitrary". ~ Scout ~