Solve the Differential Equation $$y ^ { tt } - 8 y ^ { t } + 25 y = 0$$

Multiple Choice

Solve the differential equation. Select the correct answer.
$$y ^ { tt } - 8 y ^ { t } + 25 y = 0$$

A) $y = c e ^ { 4 x } \cos ( 3 x )$
B) $y = c _ { 1 } \cos ( 3 x ) + c _ { 2 } x \sin ( 3 x )$
C) $y = e ^ { 4 x } \left( c _ { 1 } \cos ( 3 x ) + c _ { 2 } \sin ( 3 x ) \right)$
D) $y = e ^ { 4 x } \left( c _ { 1 } \cos ( 3 x ) + c _ { 2 } x \sin ( 3 x ) \right)$
E) $y = e ^ { 4 x } \left( c _ { 1 } \cos ( 4 x ) + c _ { 2 } x \sin ( 4 x ) \right)$