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Unformatted text preview: x ) y = 0 (1) (a) Classify the points x (do not include the point at in f nity) as ordinary points, regular singular points, or irregular singular points. [5 marks] (b) Explain how you would classify the point at in f nity (you need not carry out the calculations). [5 marks] (c) Explain how you would obtain a general solution of (1) about the point x = 1 . [10 marks] (d) Use the appropriate series expansion about the point x = 0 to determine two independent solutions to (1). Determine the radius of convergence of one of these series. [40 marks] 1...
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- Fall '08