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. Transformasi Laplace Trans formasi laplace fungsi F(t) didefinisikan sebagai :

. Transformasi Laplace Trans formasi laplace fungsi F(t) didefinisikan sebagai : L ( F(t) ) = = f ( s ) Contoh : L (1) = 2. L ( t ) =

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. Transformasi Laplace Trans formasi laplace fungsi F(t) didefinisikan sebagai :

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  1. .Transformasi Laplace Transformasilaplacefungsi F(t) didefinisikansebagai : L ( F(t) ) = = f ( s ) Contoh : L (1) = 2. L ( t ) = Dengancara yang samadapatdicaritransformasilaplacedarifungsi-fungsisederhana, dandapatditabelkan tabel transformasilaplacesebagaiberikut :

  2. .NoFungsi F(t)Laplace F(T)=f(s) 1 1 2 t 3 4 5 sin kt 6 cos kt 7 sinh kt 8 cosh kt

  3. Sifat-SifatTransformasi Laplace: 1.SifatLinier : Jika L(F(t)) = f(s) dan L (G(t)) = g(s) Maka L ( a F(t) + G(t) ) = a L (F(t) ) + b L (G(t)) = a f(s) + b g( s ) 2.SifatTranslasi: Jika L(F(t)) = f(s) maka L ( e-st .F(t)) = f ( s-a) Contoh-contoh:

  4. . TUGAS Tentukantransformasi Laplace darifungsi F(t) berikut : 1.(5t+3) 2.( 4t + 7) 3.sin(3t+8) 4. cosh (5t-9)

  5. 5.cosh(6t+4) 6, e 7. .e 8. e

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