Question

solve attached one ......​

Answer 1

(D^2 + D + 1)y=0

Auxillary equation

M^2 + M + 1 = 0

M = (-1+sqrt3 *i)/2 and - (1 - sqrt3 i)/2

Y = e^-x/2 (c1cos sqrt3/2 + c2 sinsqrt3/2x)

Answer 2

(D^2 + D + 1)y=0

Auxillary equation

M^2 + M + 1 = 0

M = (-1+sqrt3 *i)/2 and - (1 - sqrt3 i)/2

Y = e^-x/2 (c1cos sqrt3/2 + c2 sinsqrt3/2x)