In problem, x = 0 is a regular singular point of the given differential equation. Show that

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In problem, x = 0 is a regular singular point of the given differential equation. Show that the indicial roots of the singularity do not differ by an integer. Use the method of Frobenius to obtain two linearly independent series solutions about x = 0. Form the general solution on (0, ∞).

2x2y" - xy' + (x2 + 1)y = 0

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