I am finding the roots of the Mathieu sine function, and find Mathematica and Maple do not agree on the solutions.
For example, consider the solutions of
Abs[MathieuS[4x, 4, Pi]] = 0, for
2 < x < 3.
Mathematica finds the solutions
x=2.66776, whereas Maple only agrees with the solution
I show plots from Mathematica (top) and Maple (bottom) illustrating the disagreement.
Why are the results inconsistent?