Chapter 12.17, Problem 1P

Write the solutions of Problem 16.1 as spherical Bessel functions using the definitions (17.4) of $j_n(x)$ and $y_n(x)$ in terms of $J_{(2n+1)/2}(x)$ and $Y_{(2n+1)/2}(x).$ Then, using (17.4), obtain the solutions in terms of $\sin x$ and $\cos x.$ Compare with the answers in equation (11.6) and Problem 11.1.