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Suppose J, (x) and J_, (x) are two linearly independent solutions of the differential equation xy+ xy + (x -v) y = 0 (v

Suppose J, (x) and J_, (x) are two linearly independent solutions of the differential equation xy"+ xy + (x -v) y = 0 (v is half integer) Then, the value of J2 (x)+J/2(x) is equal to -1/2 x. (An integer)

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