Re: Solving Weissinger's ODE
- To: mathgroup at smc.vnet.net
- Subject: [mg104917] Re: [mg104842] Solving Weissinger's ODE
- From: Virgil Stokes <vs at it.uu.se>
- Date: Fri, 13 Nov 2009 05:54:39 -0500 (EST)
- References: <200911110929.EAA29439@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
>
>
>
Please note the correct initial condition for this ODE that I gave
should have been Sqrt[t^2+1/2]. Several people have been kind enough to
report this error to me --- thank you.
--V
- References:
- Solving Weissinger's ODE
- From: Virgil Stokes <vs@it.uu.se>
- Solving Weissinger's ODE