1 34 Solving Initial Conclit ion Prol,lcnrs cz ilh the L a p l x e Transforrri M'itli (7.36) (7.13) it ~ioufollo)ws that the ouipiit sigrinl foi t U i5 dt)= exterrral p a r t (7.44) To c.orirhrdc, wc expwbs this rwult; in thc saii~eforin as thc rri;iilI ot tlre classical solutiorr (7.43) T h e terms with r (1 e-"/?- are collected togctlicr giving arid thc rcsuil 1s then pnt into (7.44) The h a \ rvsidt corrcspcinds to (7.13) bor a siriusoiclal input signal, i t s ronsidcr further divide rip llie external term of the by of thrrtl parts rxannplt wr ran that ('1.44) consists 11s