Question

prove that x^2*(the second derivative of the Bessel function)+x*(the first derivative of the Bessel function) + x^2*(the Bessel function) = 0 is a solution to the diff eq.

Answer 1

J(x)=\[\sum_{0}^{?\infty}((-1)^n(x)^(2n))/(2^(2n)(n!)^2)\] this is the power series of the Bessel function