GATE (TF) Textile 2008 Question Paper Solution | GATE/2008/TF/29

Question 29 (Textile Engineering & Fibre Science)

The Laplace transform of $y(t)$ and its derivative are respectively defined as
$\int_{0}^{\infty}e^{-st}y(t)dt=Y(s)$ and $\int_{0}^{\infty}e^{-st}y'(t)dt=sY(s)-y(0)$ .
The Laplace transform of the initial value problem, $y'-2y=0$ , $y(0)=1$ gives

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GATE Textile Engineering and Fibre Science (TF) Question Papers | GATE Textile Question Answer | GATE Textile Solved Question Papers | GATE Textile Papers | GATE Textile Answer Key

(A)	$Y(s)=\frac{1}{s-2}$
(B)	$Y(s)=\frac{s}{s-2}$
(C)	$Y(s)=\frac{1}{s}$
(D)	$Y(s)=\frac{2}{s-2}$