GATE (TF) Textile 2014 Question Paper Solution | GATE/2014/TF/03

Question 03 (Textile Engineering & Fibre Science)

The inverse Laplace transform of \frac{2}{S^2+2s}+\frac{s}{s^2+4s+4} is

(A)1-2te^{-2t}
(B)1-e^{-2t}+2te^{-2t}
(C)1-2te^{-2t}+2te^{-2t}
(D)e^{-2t}+2te^{-2t}
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\frac{2}{S^2+2s}+\frac{s}{s^2+4s+4}
Do fraction-
\frac{2}{s(s+2)}+\frac{s}{(s+2)^2}
\frac{2}{s(s+2)}+\frac{s}{(s+2)^2}
[\frac{1}{s}-\frac{1}{(s+2)}]+[\frac{1}{s+2}-\frac{2}{(s+2)^2}]

*** QuickLaTeX cannot compile formula:
\frac{1}{s}-\frac{2}{(s+2)^2

*** Error message:
File ended while scanning use of \frac .
Emergency stop.

By Laplace transform-
1-2te^{-2t} (Ans)

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