Re: NDSolve and error

• To: mathgroup at smc.vnet.net
• Subject: [mg92553] Re: NDSolve and error
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Sun, 5 Oct 2008 06:04:38 -0400 (EDT)
• References: <gc7fql\$elo\$1@smc.vnet.net>

```dodatki at poczta.fm wrote:

> sol[p_] :=
>   NDSolve[{Sqrt[
>           1 + (y'[t])^2] == (x^(p - 1) + (y[x])^(p - 1)*y'[x])/(x^p +
=================^^^^^^
Must be y'[x] not of t.

>                 y[x]^p)^(1 - 1/p), y[1] == 6}, y, {x, 1, 4}]
>
> but when I typed sol[2] the following kind of error was shown:
>
> NDSolve::"ndnum": "Encountered non-numerical value for a derivative at
> \
> \!\(x\) == \!\(4.587812868332132`*^-296\)."

In[1]:= sol[p_] :=
NDSolve[{Sqrt[
1 + (y'[x])^2] == (x^(p - 1) + (y[x])^(p - 1)*y'[x])/(x^p +
y[x]^p)^(1 - 1/p), y[1] == 6}, y, {x, 1, 4}]

In[2]:= sol[2]

Out[2]= {{y->InterpolatingFunction[{{1.,4.}},<>]}}

In[3]:= Plot[y[x] /. %, {x, 1, 4}]

Regards,
-- Jean-Marc

```

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