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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