Solve the differential equation 2y" + ry' + 3y = 0 by means of a power series about the ordinary point r = 0. Find the recurrence relation; also find the first four terms in each of two linearly...

Extracted text: Solve the differential equation 2y" + ry' + 3y = 0 by means of a power series about the ordinary point r = 0. Find the recurrence relation; also find the first four terms in each of two linearly independent solutions. If possi ble, find the general term in each solution.