consider the differential equation: x^3(x^2-1)^2(x^2+1)y''+(x+1)xy'+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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\[x ^{3}(x^2-1)^2(x^2+1)y''+(x-1)xy'+y=0\]

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