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5. For the differential equation (1 - x2) dy 7x _ 9y = 0 dx2 dx explain why a power series solution of the form

5. For the differential equation (1 - x2) dy 7x _ 9y = 0 dx2 dx explain why a power series solution of the form y = _n anx" is obtainable, and hence determine such a solution. (15 Marks)

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