Inverse Laplace Transforms Find the Inverse Laplace Transforms of the following. Linearity F(s) f(t) 4et F(s) f(t) 1) S-3 48 – 60/5 4) st 6 cos 3t – 18 sin 3t 3s 2) s? - 4 6s – 54 5) s? +9 3 cosh 2t...

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Extracted text: Inverse Laplace Transforms Find the Inverse Laplace Transforms of the following. Linearity F(s) f(t) 4et F(s) f(t) 1) S-3 48 – 60/5 4) st 6 cos 3t – 18 sin 3t 3s 2) s? - 4 6s – 54 5) s? +9 3 cosh 2t 3s° +3s 3) s° 3s +9 6) s° +5 9/5 sin 5t 3cos 5t + Completing the Square and Translations F(s) 10s +15 1) s? - 2s + 5 f(t) F(s) 2 f(t) 10e' cos 2t + 25 e' sin 2t 4) s? – 2s +9 e' sin2/2t 2 V2s VZe' cos /2t + e' sin /2t 4s +12 5) 4s? + 4s +1 s? - 2s + 3 S+2 12 cos 4t – 6 sin 4t 12s - 24 6) s° +16 V10 3) 2s? + 4s +7 e cos, e'sin, t+ 10 Partial Fractions F(s) f(t) 10(e 100 -10t e ) 1) (s+10)(s+20) s? - 2s +5 2) (s- 2) 4s +3 3) (s - 1)(s² + 1) s? +2s +7 4) (s² + 2s + 2)(s? + 2s + 5) ?* eª + 2te +t°e 2 7 7 e' cost+ sint 2° 2 e sin 2t e'sint- 3 -t 3 e- cost+sint 5) (s+ 1)(s² + 1) 2s +42 6) 2s? – 7s – 15 4e5t - 3e % 4 1- cos 2t 7) s(s? + 4) 2 e'- cost+ sint 8) (s+ 1)(s² + 1) - 11 - 1030