(c) From the series above, we find that the recurrence relation is C for (4) The general solution to (x? + 6)y" + 3xy = 0 converges at least on and is :) +ci( y = Co x²+ + Ci x+ x³+ x7 IV

I keep getting stuck after the reindexing, Power Series.

Extracted text: (c) From the series above, we find that the recurrence relation is C for (4) The general solution to (x? + 6)y" + 3xy = 0 converges at least on and is :) +ci( y = Co x²+ + Ci x+ x³+ x7 IV


Extracted text: In this problem you will solve the differential equation (x? + 6)y" + 3æy = 0. (1) By analyzing the singular points of the differential equation, we know that a series solution of the form y = Eo Ck ak for the differential equation will k=D0 converge at least on the interval