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  3. find the recurrence relation for the coefficients

Find the recurrence relation for the coefficients of the power series solution of the differential...

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Calculus

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Find the recurrence relation for the coefficients of the power series solution of the differential equation y y 2y 0 Assume the form y x 0 Cnx in y x n 1 Then compute First compute Cnx 1 0 y x 1 Then y y 2y Cn 2 Cn 1 Requiring that the terms of this series for y y 2y vanish gives the recurrence relation Cn 2 Cn for n 0 1 2 Cn 1 Cn 1X Cn 1X 1 0 Cn 2X Cn x

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