Re: For help about NSolve
- 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