Consider x^{2} y^{\prime \prime}(x)+x y^{\prime}(x)-y(x)=0, x>0 . This is a Cauchy-Euler equation. Find the general solution.

O Taylor expand the two solutions you found in (a) at ro = 1. Check that the two series satisfy the recurrence relation you found in (b). 1) In (c), one of the solutions is an infinite power series. What is the radius of convergence for that series?