In this problem you will solve the differential equation (х + 5)у" — (7 — г)у + у 3 0. - (1) By analyzing the singular points of the differential equation, we know that a series solution of the form y...

I keep getting stuck after the reindexing, Power Series.

Extracted text: In this problem you will solve the differential equation (х + 5)у" — (7 — г)у + у 3 0. - (1) By analyzing the singular points of the differential equation, we know that a series solution of the form y = E, Cn x" for the differential equation will n=0 converge at least on the interval


Extracted text: (b) From the series above, we find that the recurrence relation is (you must simplify, negative signs go in the numerator) )/ C C + C (4) The general solution to (x + 5)y" – (7 – x)y' + y = 0 converges at least on and is Y = Co + x³. x°+ x* + + ci :) x+ x2+ x4