In the Comment at the end of Example6we wondered what the divergence of the series solutio...

In the Comment at the end of Example6we wondered what the divergence of the series solution over 7 < x < ∞implied about the nature of the solution over that part of the domain. To.gain insight, we propose studying a simple problem with similar features. Specifically, consider the problem

(x− 1)y′ + y = 0, y(4) = 5 (12.1)

on the interval 4 ≤x < ∞.

Solve (12.1), instead, by seeking .