• To: mathgroup at smc.vnet.net
• Subject: [mg88350] Re: For help about NSolve
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Fri, 2 May 2008 03:45:14 -0400 (EDT)
• Organization: The Open University, Milton Keynes, UK
• References: <fvbr3m\$pj2\$1@smc.vnet.net>

```xxhai wrote:

>  Differential Equation:
>                                   y[x]''+y[x]*{(1+y[x]'^2)}^(3/2)=0
>
> aboundery condition:    y[0]=0, y[1]=0
>
> For Numerical Solution ?
>
> why  Mathematica can't solve the Equation with the initial condition ?
>
> please give the correct program for differential equation.
>
>
> thank you a lot.

(* Here is an example of how to use NDSolve and its result *)
nsol = NDSolve[{y''[x] + y[x]*((1 + y'[x]^2))^(3/2) == 2, y[0] == 0,
y[1] == 0}, y, {x, 0, 1}]
Plot[y[x] /. nsol[[1]], {x, 0, 1}]
Table[y[x] /. nsol[[1]], {x, 0, 1, 0.1}]

(* As given, your original equation has y(x) = 0 as solution *)
nsol = NDSolve[{y''[x] + y[x]*((1 + y'[x]^2))^(3/2) == 0, y[0] == 0,
y[1] == 0}, y, {x, 0, 1}]
Plot[y[x] /. nsol[[1]], {x, 0, 1}]
Table[y[x] /. nsol[[1]], {x, 0, 1, 0.1}]

Regards,
-- Jean-Marc

```

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