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Main Question or Discussion Point
Is there an insightful reason for the fact x*y''(x) + y'(x) + y(x) = 0 can go "bad" in x = 0 and y''(x) + x*y'(x) + y(x) = 0 doesn't?
x*y''(x) + y'(x) + y(x) = 0 has two families of solutions :x*y''(x) + y'(x) + y(x) = 0 can go "bad" in x = 0