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I have now identified where the problem is in the plotting of unduloids using elliptic functions. There seem to be some singularities arising in Maple 10 that were not there in earlier Maple versions. I noticed also that, on the functionadvisor help page for EllipticE, the branch points are listed differently. Maple 9.5 has ... k, 1/k and Maple 10 has ... -1/k,1/k ... Is this a misprint or the source of the trouble. At any rate, for those who want to see what is happening, try the following in Maple 9.5 and in Maple 10:

> Maple Equation

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