Find the solution of the following differential equation x () using the Laplace transform.
dt 2
d 2
x(t)
​
+7 dt
dx(t)
​
+12x(t)=2,x(0)=0,x ′
(0)=1 (2) dt 2
d 2
x(t)
​
+4x(t)=0,x(0)=1,x ′
(0)=2 (3) dt 2
d 2
x(t)
​
+6 dt
dx(t)
​
+9x(t)=0,x(0)=1,x ′
(0)=1