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Re: Mathematica and Mathieu DEQ Results?

• To: mathgroup at smc.vnet.net
• Subject: [mg91164] Re: Mathematica and Mathieu DEQ Results?
• From: Roman <rschmied at gmail.com>
• Date: Fri, 8 Aug 2008 07:13:21 -0400 (EDT)
• References: <g7ed1f$2fh$1@smc.vnet.net>

Hi,

1) your DEQ is misspelled. I'll assume you meant
  DSolve[x''[t] + (4 Pi^2 - 2 ((-Pi^2/5) Cos[2 (Pi t)/100])) x[t] ==
0, x[t], t]

2) your DEQ is of second order, so there are only two independent
solutions; AFAIK there is no way that there could be more non-unique
solutions.

3) the easiest way of checking the answers is back-substitution:
you'll see that one answer (by Mathematica) is correct and the other
(by mathworld) is not.

Roman.