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>