(Solved): Using Laplace Transform method, the solution of the following differential equation is y"+y= y(0)=y ...

Using Laplace Transform method, the solution of the following differential equation is y"+y= y(0)=y'(0) = 0 0 if 123 1 Oy(t) = Age-P+Aze-U(t – 3)+Azcos(t)+Aqsin(t)+(Ascos(t – 3)+ Agsin(t – 3)]U(1 – 3) where A, are constants. Oy(t) = Axe-'+Aze-fu(t-3)+Azcos(t)+ [A.cos(t – 3)]U(1 – 3) where A, are constants. Oy(t) = A, e-P+Aze-U(t – 3) + Azcos(t)+Aqsin(t) +[Ascos(t)+ Agsin(t]u(t – 3) where A, are constants. Oy(t) = Age'+Aze'U(1 – 3)+Azcos(t)+ Aqsin(t) +[Ascos(t)+ Agsin(t)]U(1 -3) where A, are constants. None of these