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