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consider the differential equation xy'' - xy' + y = 0. The indicial equation is r(r...

consider the differential equation xy'' - xy' + y = 0. The indicial equation is r(r - 1) = 0. The recurrence relation is c_k+1(k + r + 1) + (k + r) - c_k(K + r - 1) = 0. A series solution to the indicial root r = 0 is

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