8. (10 points) Suppose you were looking for a power series solution of a differential equa- tion with initial conditions y(0) = 0 and y'(0) = 1. The solution is y(x) =Σan n=0 with recurrence relation an+2= 1 n+1 an n = 0, 1,2,3,... Find the first 4 non-zero terms of the series, and then write y(x) using summation notation: y(x) = 0. n=

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