The differential equation x*(x – 2)²y" + 3(x – 2)y' + y = 0, as the singular points at x = 0 and x = 2. Classify them as either regular or regular singular point. Hint: Use substitution t = x – a for the singular point x = a).

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The differential equation
x*(x – 2)?y" + 3(x – 2)y' + y = 0,
has the singular points at x = 0 and x = 2. Classify them as either regular or
irregular singular point.
(Hint: Use substitution t = x – a for the singular point x = a).
Transcribed Image Text:The differential equation x*(x – 2)?y" + 3(x – 2)y' + y = 0, has the singular points at x = 0 and x = 2. Classify them as either regular or irregular singular point. (Hint: Use substitution t = x – a for the singular point x = a).
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