Find a general solution to the given homogeneous equation. (D+1)² (D-4)³ (D+4) (D² + 1) (D² +25) [y]=0 Choose the correct answer below. -x 4x A. y(x) = C₁ ex+C₂xe x + C3 e 4x + C 4x e 4x+C5X² e 4x + C6e-43 + C7 cosx+Cg sin x + Cg cos 5x + C 10 sin 5x +C4 cosx+C5 sin x + C6 cos 5x+ C7 sin 5x OB. y(x)=C₁ ex+C₂e - 4x + C3 e° 4x ос. 4x +C4xe 4x+C5x² e 4x4 -x y(x) = C. e-X + Czxe + Cze 4x + 2 +C6e - 4x + C7 cosx+Cg sin x + Cg cos 25x + C10 sin 25x OD. y(x)=C₁ex + C₂ e *x + Cze - 4x +C4 cosx+C5 sin x + C6 cos 5x + C7 sin 5x