       Table NDSolve Plot

• To: mathgroup at smc.vnet.net
• Subject: [mg121883] Table NDSolve Plot
• From: Howard <hcohl at nist.gov>
• Date: Thu, 6 Oct 2011 04:18:59 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

```Hi.  I know this is a basic question, but I am having difficulty finding how to do this in Mathematica.

I want to make a plot with multiple solutions of an ordinary differential equation which I want to generate using NDSolve.  For instance, let me take

k=0.999
h=0.0
n=0.0
s = NDSolve[{(1 - z^2) (1 - k^2 z^2) w''[z] - z (1 + k^2 - 2 k^2 z^2) w'[z] + (h - n (n + 1) k^2 z^2) w[z] == 0, w == 1/2 Log, w' == -1/3.}, w, {z, 11/10, 3}]
Plot[Evaluate[w[z] /. s], {z, 11/10, 3}, PlotRange -> All]

This shows the plot for this function.

I would like to generate solutions for say 10 k's, for instance 10 k's between .9 and 1.0 and put them all on the same plot.  I'm guessing I can do this with Plot, NDSolve, Table, etc.

Can you help me figure out the syntax?

Thanks, Howard

```

• Prev by Date: Extra parameter for DirichletDistribution
• Next by Date: Re: can't find info about & /@ %
• Previous by thread: Re: Extra parameter for DirichletDistribution
• Next by thread: Table NDSolve Plot