Determine the output of the system described by the following difference equations with input and initial conditions as specified:
y[n]+6y[n-1]-16y[n-2]=3x[n]
x[n]=((-1)^n)*u[n]
y[-1]=2
y[-2]=-1
(d2/dt2)y(t)-14(d/dt)y(t)+24y(t)=x(t)
x(t)=sin(t)u(t)
y(0)=12
(d/dt)y(0)=-2