1. Which of the following power series must be used as the nonhomogeneous part for the given initial value problem y" – y + (x + )² y = In (3 + x) y (-}) = 1, 3' (-}) = 0 in order to obtain the...

Extracted text: 1. Which of the following power series must be used as the nonhomogeneous part for the given initial value problem y" – y + (x + )² y = In (3 + x) y (-}) = 1, 3' (-}) = 0 in order to obtain the solution by power series solution method? (-1)까1 (2x + 1)" C) E (-1)*+1 (x)" A) (-1)" (x – })" B) Σ n n! n=0 n=1 n=0 (-1)"-' (x+ })" D) 2 (-1)" x" E) 2" (n + 1) n=1 n=1