In Problems 1 through 10, find a power series solution of the given differential equatio...

In Problems 1 through 10, find a power series solution of the given differential equation. Determine the radius of convergence of the resulting series, and use the series in Eqs. (5) Through (12) to identify the series solution in tennis of familiar elementally functions. (Of course, no one can prevent you from checking your work by also solving the equations by the methods of earlier chapters!)

Reference Equation: 5 through 12