Answer Happy

since A 1 m Let Amplitude force A is acting for u(t) time, ult) differential equation for mass spring damper system with step function mis & cx + Kx= Aut) = 28wo, h = wo 2 x + 2Bw. x + wire hult) Laplace transform L[ä + 2B wie + win] = A L[u(t)] [s*x(s) – 5:00) - ri(0)]+ 2Bw. [ S xs) – 260))+ w• x(s)= funds 2(o)= x(0)=0 [ 3 + 28 was +w.?] x(s) = 5 XIS AC stenzwest ws] (+28wost mwa [ $ - * 25 was it of BLI xls)= A (5+8Wo3² + 151-B wa) (5+ Burn) + TFBI w.)? Inverse Laplace Cocos lief wat te songwrt)] S1 - Be X) = A[ را به X(s)- S+ 2B wo - 11- B² wo StBwo 1-B2 swa -Boot + X(t) = А k [1- & ) Using Green function method, find the solution of the inhomogenous part of a(t) for a driving force given as F(t) = A eup (-bt) operating between o and t ?