00 (a) Suppose the power series 2 ans\" converges to a function y=y(x) such that n=0 y"y'+y = 0, M0) = 1, 29"(0) = 0- Find a formula that expresses an+2 in terms of an+1 and an and determine a0, a1, a2, 413. (b) Solve the initial-value problem in (a) exactly (nd a simple formula for y=y(a:)). (c) Use your answer in (b), Taylor series, and multiplication of power series to recover the values of ao,a1,a2,a3 you found in (a)