Mathematica and Mathieu DEQ Results?
- To: mathgroup at smc.vnet.net
- Subject: [mg91134] Mathematica and Mathieu DEQ Results?
- From: amzoti <amzoti at gmail.com>
- Date: Thu, 7 Aug 2008 04:39:05 -0400 (EDT)
1. I am using Mathematica, to solve the following DEQ:
DSolve[x''[t] + (4[Pi]^2 - 2((-Pi^2/5) Cos[2 (Pi t)/100])))x[t] == 0,
x[t], t] (1)
This results in a solution of even and odd Mathieu functions as
x[t] = C MathieuC[40000, -2000, Pi*t/100] + C MathieuS[40000,
2. However, according to <http://mathworld.wolfram.com/
the result is:
x[t] = C MathieuC[4 Pi ^2, -Pi^2/5, Pi*t/100] + C MathieuS[4 Pi
^2, -Pi^2/5, Pi*t/100] (2)
a. I am confused why I am getting these totally different results.
b. The paper I am reading <epsppd.epfl.ch/Roma/pdf/P2_091.pdf shows
three different plots that match with (2) - where I am able to
duplicate the results/plots of the paper exactly using this method.
Can someone out there shed light on why this is the case?
Why can't Mathematica get the same result (or is it that the DEQ does
not have a unique solution based on some properties of Mathieu
Any insights are appreciated!
Prev by Date:
Re: Find count of binary number pattern within concatenated
Next by Date:
Re: Find count of binary number pattern within concatenated number
Previous by thread:
Re: Find count of binary number pattern within
Next by thread:
Re: Mathematica and Mathieu DEQ Results?