develop the recursion relation for the series solution to
Bessel’s Equation x2y'' + xy' + (x2 - n2)y = 0. This solution y(x),
sometimes called the “regular solution”, is the Bessel Function of
the First Kind, Jn(x). Provide the appropriate mathematical
background (solutions) that generates the Bessel Functions of the
First Kind. Take the constant a0 = 1 for normalization purposes.
Generate the solutions corresponding the n = 0, 1, and 2, and plot
them over the range x =...