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Consider differential equation: x3 (x2-1)2 (x2+1) y'' + (x-1) x y' + y = 0 .....

Consider differential equation: x3 (x2-1)2 (x2+1) y'' + (x-1) x y' + y = 0 .. Determine whether x=0 is a regular singular point. Determine whether x=1 is a regular singular point. Are there any regular singular points that are complex numbers? Justify conclusions.

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