Given that y = n=0 anxn, compute y and y and write out the first four terms of each

Chapter 5, Problem 18

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Given that y = n=0 anxn, compute y and y and write out the first four terms of each series as well as the coefficient of xn in the general term. Show that if y = y, then the coefficients a0 and a1 are arbitrary, and determine a2 and a3 in terms of a0 and a1. Show that an+2 = an/(n + 2)(n + 1), n = 0, 1, 2, 3, ....

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