Solving Weissinger's ODE

*To*: mathgroup at smc.vnet.net*Subject*: [mg104842] Solving Weissinger's ODE*From*: Virgil Stokes <vs at it.uu.se>*Date*: Wed, 11 Nov 2009 04:29:41 -0500 (EST)

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

**Follow-Ups**:**Re: Solving Weissinger's ODE***From:*Virgil Stokes <vs@it.uu.se>

**Re: Solving Weissinger's ODE***From:*Pratip Chakraborty <pratip.chakraborty@gmail.com>

**Re: Solving Weissinger's ODE***From:*Mark McClure <mcmcclur@unca.edu>