Specially pls

1. Recall the Bessel function of order 0, Jo(x) from lectures: (-1)~ x2n Jo(a) = 22n (n!) 2 (1) n=0 We learned that the Bessel function appears in many applications in science and engi- neering and that the interval of convergence of the power series is all of R. We didn't cover how it arises. The Bessel function is a solution to a particular differ- ential equation. That means it is a function that satisfies an equation that involves the function itself, as well as its derivatives. Show that Jo(x) satisfies the equation x2 J' (x) + xJo(x) + x-Jo(x) = 0, (2) where Jo(x) = Jo(x)