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Mathematica forgets a solution in DSolve!!!

• To: mathgroup at smc.vnet.net
• Subject: [mg78648] Mathematica forgets a solution in DSolve!!!
• From: Nope <bernardo.rimanno at email.it>
• Date: Fri, 6 Jul 2007 03:21:12 -0400 (EDT)

Hi, I just tried to solve a differential equation by writing down this code:

DSolve[y'[x]^2 - y'[x]*x + y[x] == 0, y[x], x]

Mathematica then tells me:

{{y[x] -> x C[1] - C[1]^2}}

but I noticed that y = x^2/4 is a solution too!!!

Is it a Mathematica bug?

Please answer me if you know something about this problem.

Thanks :)

• Follow-Ups:
  • Re: Mathematica forgets a solution in DSolve!!!
    • From: Devendra Kapadia <dkapadia@wolfram.com>
  • Re: Mathematica forgets a solution in DSolve!!!
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>