Find the Laplace transform of f(t) = (sin t – cos t)2
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Expand the square: sin²(t)+cos²(t)-2sin(t)cos(t)=1-sin(2t).

Apply Laplace to each term: F(s)=1/s-2/(s²+4), because L{1}=1/s and L{sin(at)}=a/(s²+a²).

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asked Sep 21, 2012 in Calculus Answers by anonymous | 199 views
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