$\text { Which of the following is a solution of the differential equation } y ^ { ( 4 ) } - 10,000 y = 0 \text { ? }$

Multiple Choice

$\text { Which of the following is a solution of the differential equation } y ^ { ( 4 ) } - 10,000 y = 0 \text { ? }$

A) $y = 5 e ^ { - 10 x } + x \sin x$
B) $y = e ^ { - 10 x }$
C) $y = x ^ { 2 } \left( 10 + e ^ { x } \right)$
D) $y = - 10 x \cos x$
E) $y = 9 \ln x$