Solve the Boundary-Value Problem, If Possible $y ^ { t t } + 14 y ^ { t } + 49 y = 0 , y ( 0 ) = 0 , y ( 1 ) = 3$

Multiple Choice

Solve the boundary-value problem, if possible. $y ^ { t t } + 14 y ^ { t } + 49 y = 0 , y ( 0 ) = 0 , y ( 1 ) = 3$

A) $y ( x ) = 7 x e ^ { ( - 3 x + 3 ) }$
B) $y ( x ) = 3 e ^ { ( - 7 x - 7 ) }$
C) $y ( x ) = 3 x e ^ { ( - 7 x - 7 ) }$
D) $y ( x ) = 3 x e ^ { ( - 7 x + 7 ) }$
E) No solution