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Consider the second-order differential equation x2y′′+(x2+ax)y′−axy=0 where a=−2 Is x0=0 a singular or ordinary point of the...

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Advance Math

Consider the second-order differential equationx2y′′+(x2+ax)y′−axy=0 where a=−2 Is x0=0 a singular or ordinarypoint of the equation? If it is singular, is it regular orirregular? Find two linearly independent power series solutions ofthe differential equation. For each solution, you can restrict itto the first four terms of the expansion

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