The roots of the indicial equation and obtain the general form of two linearly independent solutions to the differential equation on an interval ( 0 , R ) and if r 1 − r 2 equals a positive integer, obtain the recurrence relation and check whether the constant A in y 2 ( x ) = A y 1 ( x ) ln x + x r 2 ∑ n = 0 ∞ b n x n is zero or nonzero.

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Chapter 11.5, Problem 3P

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The roots of the indicial equation and obtain the general form of two linearly independent solutions to the differential equation on an interval (0,R) and if r1−r2 equals a positive integer, obtain the recurrence relation and check whether the constant A in y2(x)=Ay1(x)lnx+xr2∑n=0∞bnxn is zero or nonzero.

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