Find Constants a and B So That the Given Expression $y _ { n }$

Multiple Choice

Find constants A and B so that the given expression $y _ { n }$ satisfies the specified difference equation. $n ^ { 2 } y _ { n } + n y _ { n - 1 } = 4 n - 2 n ^ { 3 } ; y _ { n } = A n + B$

A) $A = 2 , B = 2$
B) $A = - 2 , B = - 2$
C) $A = 2 , B = - 2$
D) $A = - 2 , B = 2$