Consider the following forced vibration system y + 2y + 2y = F(t), y (0) =...

  

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Consider the following forced vibration system y" + 2y + 2y = F(t), y (0) = 1, y/ (0) = -5 { with F(t) 10 sin (2t), 0<t<n; 0. # <t. the sine driving force acting within time interval (0,r) and dashpot damping at t= . Find the solution y (t) to IVP for t>, and evaluate y (37). Is it true that y (3) = -(3+2e) e-³* <0? Consider the following forced vibration system y" + 2y + 2y = F(t), y (0) = 1, y/ (0) = -5 { with F(t) 10 sin (2t), 0<t<n; 0. # <t. the sine driving force acting within time interval (0,r) and dashpot damping at t= . Find the solution y (t) to IVP for t>, and evaluate y (37). Is it true that y (3) = -(3+2e) e-³* <0?