Re: Varying a constant in an ODE to Manipulate solution set

• To: mathgroup at smc.vnet.net
• Subject: [mg125954] Re: Varying a constant in an ODE to Manipulate solution set
• From: Bob Hanlon <hanlonr357 at gmail.com>
• Date: Mon, 9 Apr 2012 05:34:38 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <201204080816.EAA15103@smc.vnet.net>

```Manipulate[
tmax = 2 Pi;
sol = NDSolve[{
y''[t] + c Sin[y[t]/c] == 0,
y[0] == c/(1 + c), y'[0] == 0},
y, {t, 0, tmax}][[1]];
Plot[y[t] /. sol, {t, 0, tmax},
PlotRange -> {-0.75, 0.75}],
{{c, 1}, 0.5, 2, 0.01,
Appearance -> "Labeled"}]

Bob Hanlon

On Sun, Apr 8, 2012 at 4:16 AM, Narasimham <mathma18 at hotmail.com> wrote:
> y''[t]+ c  Sin[ y[t]/c ] ==0 needs to be NDSolved with Boundary
> conditions y'[0] == 0, y[0] == c/(1+c).
>
> How to Manipulate or Animate the y[t] plots with say 0.5 < c < 2 ?
>
> Regards
> Narasimham
>

```

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