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1. Find the Laplace transform of f(t) = (t+1)e^{-at} 2. Find the inverse Laplace transform of F(s) = frac{s+3}{s^2+2s+2}

          1. Find the Laplace transform of f(t) = (t+1)e^{-at}
2. Find the inverse Laplace transform of F(s) = frac{s+3}{s^2+2s+2}
        
1. Find the Laplace transform of f(t) = (t+1)e^-at
2. Find the inverse Laplace transform of F(s) = fracs+3s^2+2s+2

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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1. Find the Laplace transform of f(t) = (t+1)e^{-at} 2. Find the inverse Laplace transform of F(s) = frac{s+3}{s^2+2s+2}
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Transcript

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0:00 Hi.
00:01 Now in question number one we have to find the laplace transform of ft is equal to t plus 1 e to the power minus 80.
00:11 So now this can be written as t into e to the power minus 80 plus e to the power minus 80.
00:18 So in this case laplace transform, laplace transform become 1 by s plus a whole square plus 1 by s plus a whole square plus 1.
00:30 So therefore this can be simplified and written as s plus a whole square 1 plus s plus a.
00:39 Now in second question we have to find the inverse laplace transform for fs is equal to s plus 3 by s square plus 2 s plus 2...
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