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Re: Solving Weissinger's ODE

  • To: mathgroup at smc.vnet.net
  • Subject: [mg104895] Re: Solving Weissinger's ODE
  • From: dh <dh at metrohm.com>
  • Date: Thu, 12 Nov 2009 06:08:42 -0500 (EST)
  • References: <hde08e$spq$1@smc.vnet.net>


Virgil Stokes wrote:

> I can not see why the following does not work as expected,

> 

> s = NDSolve[{t * (y[t])^2 * (y'[t])^3 - (y[t])^3 *  (y'[t])^2 +  t * 

> (t^2 + 1) * y'[t] - t^2 *y[t] == 0, y[1] == Sqrt[3/2]},   y[t], {t, 1, 10}]

> 

> Note, the solution to this nonlinear, non-autonomous, implicit ODE for 

> initial condition y[1] = Sqrt[3/2] is just y[t] = Sqrt[t^2 + 1].

> 

> Any suggestions on how to obtain the solution (either analytic or 

> numerical) would be appreciated.

> 

> --V. Stokes

> 

> 

Hi Virgil,

seems to work for me (version 7). Try again.

Daniel




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