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Without actually solving the differential equation (x^3 - 2x^2 + 5x)y’’ + 4xy’ + 4y =...

Without actually solving the differential equation (x^3 - 2x^2 + 5x)y’’ + 4xy’ + 4y = 0, find a lower bound for the radius of convergence of the power series solutions about the ordinary point x = 3

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