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Re: DSolve difficulties ...

  • To: mathgroup at smc.vnet.net
  • Subject: [mg111862] Re: DSolve difficulties ...
  • From: Themis Matsoukas <tmatsoukas at me.com>
  • Date: Mon, 16 Aug 2010 05:53:07 -0400 (EDT)

In Mathematica "7.0 for Mac OS X x86 (64-bit) (November 11, 2008)", your equation,

DSolve[y''[x] == 1/(y[x]*y[x]), y[x], x]

has the solution

Solve[(Log[-2 + 2 (C[1] + Sqrt[C[1]] Sqrt[C[1] - 2/y[x]]) y[x]]/C[1]^(
    3/2) + (Sqrt[C[1] - 2/y[x]] y[x])/C[1])^2 == (x + C[2])^2, y[x]]

which gives y implicitly as the solution of a mathematical equation. 

If you are getting inconsistent results over successive runs of mathematica, it is a good idea to quit the kernel and start a new session.

Themis


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