SOLVED:Bessel functions Bessel functions arise in the study of wave propagation in circular geometries (for example, waves on a circular drum head). They are conveniently defined as power series. One of an infinite family of Bessel functions is J0(x)=∑k=0^∞ ((-1)^k)/(2^2 k(k !)^2) x^2 k. a. Write out the first four terms of J0. b. Find the radius and interval of convergence of the power series for J0. c. Differentiate J0 twice and show (by keeping terms through x^6 ) that J0 satisfies the equati

17.3: Applications of Second-Order Differential Equations