PLS SHOW STEPS. THE ANSWER WILL BE MULTIPLE CHOICES BELOW.

Given the third-order linear homogeneous differential equation: y (3) - y=0 Select all the correct answers If y (0) =0, y '(0) =1, y "(0) = -1 A then y = ( e (-*/2) sin ( 2 is a solution of the associated initial value problem. If y (0) =0, y '(0) =1, y "(0) =-1 B 2 then y = ( je ( */2) sin (- V 3 2 x ) 3 is a solution of the associated initial value problem. Three linearly independent solutions of the given differential equation are: C ex e /2 sin ( /3 x) , e /2 cos ( 3 -x ) 2 2 Three linearly independent solutions of the given differential equation are: D ex e -*/2 sin ( V3 -x) , e - x/ 2 cos ( -x ) 2 2y =0 is solution of the given differential equation : E v (3 ) - y = 0 Three linearly independent solutions of the given differential equation are: F e - x/2