This questio Find a power series expansion about x = 0 for a general solution to the given differential equation. Your answer should include a general formula for the coefficients. O -z"'+ x z' + xz= 0 What is the power series solution to the differential equation? O A. Z(x) = 20 1+ (-n (1 .4.7...(3n-2)) 3n + a, x+ [ (-1)" (2 . 5 - 8...(3n - 1)) 3n +1 (3n)! (3n + 1)! n =1 n = 1 O B. Z( x) = 20 1 + (3 . 6 - 9...(3n)) Do 3n + a x + (1 . 4 - 7...(3n -2)) 3n +1 (3n - 2)! -x (3n + 2)! n = 1 n = 1 O (1 . 4 . 7...(3n -2)) O c. z(x) = 20 1+ _ 3n 1+a x + (2 . 5 . 8...(3n - 1)) 3n + 1 (3n)! (3n + 1)! n = 1 n = 1 O D. z(x) = a0 1 + (- Ing .6.9...(3n)) x 30 + a, x + ) (- 1)n 14 (30-2)) 3n+ 1 (3n - 2)! (3n + 2)1 n =1 n = 1