NAME: Laplace transform formulae: Let F(s) be the Laplace transform of f (t). (a) f(t) = 1; F(s) = =, s>0 1 (b) f (t) = eat ; F(8) = s > a S - . a b (c) f(t) = sin bt; F(s) = $2 + 62 ' S > 0 S (d) f(t) = cosbt ; F(s) = 2172) $20 Let Cly(t)} = Y(s) be the Laplace transform of y(t), then (a) Cly"'} = s?Y(s) - sf(0) - f'(0) (b) Lly'} = sy(s) - f(0) Let F(s) = [{f(t) }, then Cleat f (t) } = F(s - a)