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Question: 1 16 solve 2x x2y 6x 1y 4y 0 by...

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1. (16%) Solve (2x -x2)y -6(x -1)y 4y 0 by power series of the form a) (6%) Find the radius of convergence and the recurrence relation of Cn. b) (6%) Find the two linearly independent solutions. Please write the first four nonzero terms if it is an infinite series. c) (400) Given y(1) 0,y(1)-1, find the particular solution.

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