Re: DSolve difficulties ...

*To*: mathgroup at smc.vnet.net*Subject*: [mg111894] Re: DSolve difficulties ...*From*: Slide <wdflannery at aol.com>*Date*: Tue, 17 Aug 2010 01:22:24 -0400 (EDT)*References*: <i4b1pu$b15$1@smc.vnet.net>

On Aug 16, 5:53 am, Themis Matsoukas <tmatsou... at me.com> wrote: > 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 Yes, starting anew solved that problem. The question remains, can I get Mathematica to explain the steps it took to arrive at the initial implicit solution? And, if not, do you know where the derivation of the solution can be found?