12.07.2015 Views

Notas de Aula - Parte 2

Notas de Aula - Parte 2

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Exemplo 1)Exemplo 2)Transformada <strong>de</strong> Laplace <strong>de</strong> Funções Básicas:a) DegraussFdttfsdttfLdttfsedttfsedttfLttsttst)('')(1)()('')()(0'0000'00+⎥⎦⎤⎢⎣⎡ ∫=⎭⎬⎫⎩⎨⎧ ∫∫−⎥⎦⎤⎢⎣⎡ ∫−=⎭⎬⎫⎩⎨⎧ ∫ =∞∞−∞−∞0)(1)2(0)()(2)()()}({(0))()(](0)(0)[)()(0'(0)(0),(0)0,)()(2)(2222222=++∴=++=−=⎭⎬⎫⎩⎨⎧+−=⎭⎬⎫⎩⎨⎧===++sYsssYssYsYssYtyLyssFdttdyLdtdysysFsdttydLyytydttdydttyd2120112120121220)()()()()()()()()(asasabsUsYsb UsYasasatb utyadttdyadttyda++==++=++skdtekdtetuktuLktfLttttktkutfstst=∫=∫==⎩⎨⎧≤>==∞−∞−001.)())}(({)}({(0)0,(0)1,)()(f(t)t=0

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