$\text { Which of the following is a solution of the differential equation } x y ^ { t } - 4 y = x ^ { 5 } e ^ { x } \text { ? }$

Multiple Choice

$\text { Which of the following is a solution of the differential equation } x y ^ { t } - 4 y = x ^ { 5 } e ^ { x } \text { ? }$

A) $y = 4 x ^ { 5 } e ^ { 2 x }$
B) $y = 6 e ^ { 2 x } - 7 \sin 2 x$
C) $y = x ^ { 4 } e ^ { x }$
D) $y = 5 e ^ { - 2 x }$
E) $y = \ln x$