Question: If x = a 0 is a singular point of a second-order linear differential equation, then the substitution t = x - a transforms
If x = a ≠ 0 is a singular point of a second-order linear differential equation, then the substitution t = x - a transforms it into a differential equation having t = 0 as a singular point. We then attribute to the original equation at x = a the behavior of the new equation at t = 0. Classify (as regular or irregular) the singular points of the differential equations in Problems 9 through 16.
(x - 2)2 y" - (x2 - 4)y' + (x + 2)y = 0
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